2. An experiment is to be run with two factors: Factor A with 2 levels and factor B with 4 levels. The

experimenter would like to examine the pairwise differences between the four levels of factor B, with

a simultaneous confidence level of 90%. The experimenter is confident that the two factors do not

interact and will employ a two-way main-effects model. Furthermore, the experimenter believes that the

mse will be unlikely to exceed 25. Find the required sample size for the 90% simultaneous confidence

intervals for the pairwise comparison of main effects of B to have a width at most 10.

(a) [2pts, no partial credit]The required sample size is at least

(b) [2pts] Provide the SAS code.