$8$

STA$2602$

JAN$/$FEBR $2024$

QUESTION $4$

$[18]$

A decision was to be made as to whether to purchase computer A or B$.$ The decision was to be based on the CPU time a computer took to run a benchmark program. Six different benchmark programs were chosen, all run on both computers A and B in a random order, and the CPU times recorded. The layout of the design of the experiment is shown in the table below.

$\backslash$table$[[,$Benchmark Program$],[$Computer$,1,2,3,4,5,6,],[A,y_{A1},y_{A2},y_{A3},y_{A4},y_{A5},y_{A6},],[B,y_{B1},y_{B2},y_{B3},y_{B4},y_{B5},y_{B6},]]$

$($a$)$ What is the response variable in the experiment?

$($b$)$ What is the treatment factor in the experiment?

$($c$)$ What are the experimental units in the experiment?

$($d$)$ The design of the experiment is a matched pairs design. Why$/$how$?$

$($e$)$ The design of the experiment is a randomized block design. What is the blocking factor and why?

$($f$)$ Complete the skeleton ANOVA table below.

ANOVA Table

$\backslash$table$[[$Source$,$Degrees of Freedom$],[$Computer$,??$