Mathcad Professional 13.0 <description/> <author>teacher</author> <company/> <keywords/> <revisedBy>MEE</revisedBy> </userData> <identityInfo> <revision>57</revision> <documentID>2f90ec3e-71b6-4a1d-b2e9-7815c0fde930</documentID> <versionID>016a7aac-87c2-486b-88bb-28f5032f993a</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="small" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="System" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Script" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 5" font-family="Roman" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Modern" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="charge" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="true" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="57.6" right="57.6" top="72" bottom="72"/> <header use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fswiss\fprq13 Arial;}{\f1\fnil\fprq9\fcharset0 Arial;}{\f2\fnil\fprq13\fcharset0 Arial;}} \viewkind4\uc1\pard\f0\fs18 \par \f1 \par \f2 \par }</left> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\froman\fprq2\fcharset0 Times New Roman;}{\f1\fnil\fprq13\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qc\cf1\b\f0\fs24 APPENDIX 1\cf0\b0\f1\fs18 \par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fswiss\fprq13 Arial;}{\f1\fnil\fprq9\fcharset0 Arial;}{\f2\fnil\fprq13\fcharset0 Arial;}} \viewkind4\uc1\pard\qr\f0\fs18 \par \f1 \par \f2 \par }</right> </header> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="4902" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="928" left="12" top="14.25" width="169.5" height="12" align-x="12" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">Page 1 of program: ccfsMR.mcd</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="1104" left="12" top="50.25" width="186.75" height="12" align-x="12" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">ENTER the following 4 values:</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="1105" left="12" top="74.25" width="13.5" height="12" align-x="12" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(1)</inlineAttr> </b> </f> <sp/> </p> </text> </region> <region region-id="1106" left="30" top="75" width="75.75" height="12.75" align-x="72.75" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">alphaInd</ml:id> <ml:real>0.0027</ml:real> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="1107" left="162" top="74.25" width="193.5" height="12" align-x="162" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">alphaInd</inlineAttr> </u> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> - alpha for the X chart.</inlineAttr> </b> </f> </p> </text> </region> <region region-id="1108" left="12" top="98.25" width="13.5" height="12" align-x="12" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(2)</inlineAttr> </b> </f> <sp/> </p> </text> </region> <region region-id="1109" left="30" top="99" width="90" height="12.75" align-x="91.5" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">alphaMRUCL</ml:id> <ml:real>0.005</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="1110" left="162" top="98.25" width="291.75" height="12" align-x="162" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">alphaMRUCL</inlineAttr> </u> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> - alpha for the MR chart above the UCL.</inlineAttr> </b> </f> </p> </text> </region> <region region-id="1320" left="12" top="122.25" width="13.5" height="12" align-x="12" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(3)</inlineAttr> </b> </f> <sp/> </p> </text> </region> <region region-id="1321" left="30" top="123" width="88.5" height="12.75" align-x="90" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">alphaMRLCL</ml:id> <ml:real>0.001</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="3270" left="162" top="122.25" width="300.75" height="12" align-x="162" align-y="132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">alphaMRLCL</inlineAttr> </u> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> - alpha for the MR chart below the LCL *.</inlineAttr> </b> </f> </p> </text> </region> <region region-id="1111" left="12" top="146.25" width="11.25" height="12" align-x="12" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(4)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="1112" left="30" top="147" width="26.25" height="12.75" align-x="43.5" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">m</ml:id> <ml:real>5</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="3906" left="162" top="146.25" width="310.5" height="12" align-x="162" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">m</inlineAttr> </u> </b> </f> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false"> - number of subgroups (i.e., the number of MRs plus one).</inlineAttr> </b> </f> </p> </text> </region> <region region-id="3682" left="12" top="170.25" width="422.25" height="12" align-x="12" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">* Note - If no LCL is desired, leave alphaMRLCL blank (do not enter zero).</inlineAttr> </b> </f> </p> </text> </region> <region region-id="2502" left="12" top="194.25" width="277.5" height="12" align-x="12" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">Please PAGE DOWN to begin the program.</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="4464" left="12" top="452.25" width="19.5" height="12" align-x="12" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(1.1)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="4483" left="42" top="447" width="58.5" height="18.75" align-x="66.75" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TOL</ml:id> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-10</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="4482" left="42" top="495" width="84.75" height="12.75" align-x="63.75" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">dnorm</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="4467" left="150" top="470.25" width="92.25" height="37.5" align-x="161.25" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="bad_placeholder" optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:placeholder/> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:parens> <ml:real>-0.5</ml:real> </ml:apply> </ml:parens> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">x</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="4468" left="282" top="495" width="87" height="12.75" align-x="305.25" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">pnorm</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="4469" left="390" top="481.5" width="58.5" height="39" align-x="401.25" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="bad_placeholder" optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:placeholder/> <ml:apply> <ml:integral auto-algorithm="true"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>0</ml:real> <ml:id xml:space="preserve">x</ml:id> </ml:bounds> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="4481" left="42" top="535.5" width="171.75" height="39" align-x="71.25" align-y="558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">W</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:integral auto-algorithm="true" algorithm="infinite"/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">W</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:lambda> <ml:bounds> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">∞</ml:id> </ml:apply> <ml:id xml:space="preserve">∞</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="4486" left="42" top="596.25" width="45" height="34.5" align-x="58.5" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">d2</ml:id> <ml:apply> <ml:div/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">π</ml:id> <ml:real>0.5</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="2660" left="12" top="662.25" width="201.75" height="12" align-x="12" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">Page 2 of program: ccfsMR.mcd</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="4045" left="12" top="698.25" width="19.5" height="12" align-x="12" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(2.1)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="4046" left="42" top="699" width="170.25" height="12.75" align-x="90.75" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">DUCL</ml:id> <ml:boundVars> <ml:id xml:space="preserve">W</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">W</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve">alphaMRUCL</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="4047" left="270" top="699" width="143.25" height="12.75" align-x="317.25" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> 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left="42" top="3806.25" width="82.5" height="27.75" align-x="90" align-y="3822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">qD3prevm</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">seed4</ml:id> <ml:real>5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="4497" left="336" top="3813" width="144" height="18.75" align-x="382.5" align-y="3828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">qD3prevm</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0019793930022688087</ml:real> </result> </ml:eval> <resultFormat> <general precision="10" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> </resultFormat> </math> <rendering item-idref="59"/> </region> <region region-id="4357" left="42" top="3848.25" width="214.5" height="27.75" align-x="53.25" align-y="3864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="bad_placeholder" optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:placeholder/> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">root</ml:id> <ml:sequence> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">P3prevm</ml:id> <ml:id xml:space="preserve">seed4</ml:id> </ml:apply> <ml:id xml:space="preserve">alphaMRLCL</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">seed4</ml:id> </ml:sequence> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="4498" left="336" top="3861" width="144" height="18.75" align-x="382.5" align-y="3876" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">qD3prevm</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0019793930022688087</ml:real> </result> </ml:eval> <resultFormat> <general precision="10" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> </resultFormat> </math> <rendering item-idref="61"/> </region> <region region-id="1595" left="12" top="3902.25" width="230.25" height="12" align-x="12" align-y="3912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">Page 7 of program: ccfsMR.mcd</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="3578" left="12" top="3938.25" width="19.5" height="12" align-x="12" align-y="3948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(7.1)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="4697" left="42" top="3927" width="121.5" height="24.75" align-x="89.25" align-y="3948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">d2starMR</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">d2</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">d2</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>0.5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="62"/> </region> <region region-id="4767" left="228" top="3932.25" width="110.25" height="27.75" align-x="274.5" align-y="3948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">adj_alpha</ml:id> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">alphaInd</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="4695" left="42" top="3975" width="170.25" height="24.75" align-x="113.25" align-y="3996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">d2starMRprevm</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">d2</ml:id> <ml:real>2</ml:real> </ml:apply> 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align-y="3996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">crit_z</ml:id> <ml:apply> <ml:id xml:space="preserve">qnorm</ml:id> <ml:sequence> <ml:id xml:space="preserve">adj_alpha</ml:id> <ml:real>0</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="3660" left="12" top="4046.25" width="19.5" height="12" align-x="12" align-y="4056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr 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<text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">(3)</inlineAttr> </b> </f> </p> </text> </region> <region region-id="3874" left="30" top="4305" width="92.25" height="12.75" align-x="88.5" align-y="4314" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">alphaMRLCL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.001</ml:real> </result> </ml:eval> <resultFormat> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D32</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0015708273005958641</ml:real> </result> </ml:eval> <resultFormat> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="87"/> </region> <region region-id="3799" left="372" top="4359" width="81.75" height="12.75" align-x="388.5" align-y="4368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D3</ml:id> <result 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top="4388.25" width="56.25" height="12" align-x="12" align-y="4398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">(# of MRs) =</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="4758" left="72" top="4389" width="46.5" height="12.75" align-x="100.5" align-y="4398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>4</ml:real> </result> </ml:eval> </math> <rendering item-idref="89"/> </region> <region region-id="4897" left="168" top="4400.25" width="309" height="24" align-x="168" align-y="4410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr underline="false" line-through="false">Mean of the Distribution of the Range for Subgroup Size Two</inlineAttr> </b> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">and the Variance of the Distribution of the Mean Moving Range</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="4745" left="12" top="4412.25" width="76.5" height="13.5" align-x="23.25" align-y="4422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">ν</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.8121232012198716</ml:real> </result> </ml:eval> <resultFormat> <general precision="10" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="90"/> </region> <region region-id="4876" left="12" top="4437" width="88.5" height="12.75" align-x="57.75" align-y="4446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">d2starMR</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.2312438835754798</ml:real> </result> </ml:eval> <resultFormat> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="91"/> </region> <region region-id="4896" left="168" top="4437" width="80.25" height="12.75" align-x="183" align-y="4446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">d2</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.1283791670955126</ml:real> </result> </ml:eval> <resultFormat> <general precision="10" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="92"/> </region> <region region-id="4874" left="270" top="4431" width="91.5" height="18.75" align-x="296.25" align-y="4446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">d2</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.24272195610686725</ml:real> </result> </ml:eval> <resultFormat> <general precision="10" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> </resultFormat> </math> <rendering item-idref="93"/> </region> <region region-id="4879" left="12" top="4460.25" width="56.25" height="12" align-x="12" align-y="4470" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">(# of MRs) =</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="4878" left="72" top="4461" width="70.5" height="12.75" align-x="124.5" align-y="4470" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:minus/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">m</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>1</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="94"/> </region> <region region-id="4895" left="168" top="4460.25" width="292.5" height="12" align-x="168" align-y="4470" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <u> <inlineAttr line-through="false">Harter, Clemm, and Guthrie's (1959) Table II.2 Results for n=2</inlineAttr> </u> </b> </f> </p> </text> </region> <region region-id="4883" left="12" top="4484.25" width="78" height="13.5" align-x="47.25" align-y="4494" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">νprevm</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.1994421475537647</ml:real> </result> </ml:eval> <resultFormat> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="95"/> </region> <region region-id="4894" left="168" top="4485" width="69" height="12.75" align-x="189.75" align-y="4494" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">qD4</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>11.42447095280018</ml:real> </result> </ml:eval> <resultFormat> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> </resultFormat> </math> <rendering item-idref="96"/> </region> <region region-id="4892" left="270" top="4485" width="93.75" height="12.75" align-x="316.5" align-y="4494" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">qD4prevm</ml:id> <result 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