QUESTION $1$

$20$ points

A study is conducted to determine the effect of workstation layout on the time to assemble a laptop computer $($in minutes$).$ Five different workstation layouts $($A$,$ B$,$ C$,$ D$,$ and E$)$ are considered. An experienced worker assembles $8$ laptop computers at each workstation layout. The assembly time $($in minutes$)$ is recorded for each laptop assembled.

a$)$ For this experiment, fill in the missing values in the analysis of variance table shown below.

$\backslash$table$[[\backslash$table$[[$Source of$],[$Variation$]],$SS$,$d$.$f$.,$MS$,$F$],[$Layout$,,,,],[$Error$,,,23\mathrm{.}64,],[$Total$,1222\mathrm{.}7,,,],[,,,,]]$

b$)$ Based on the above ANOVA table, does workstation layout effect laptop assembly time at $=0\mathrm{.}05?$ Why or why not? Support your answer.

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