Three commuters from Sackville wanted to determine what affected the time it took to get to Dalhousie in the morning. An experiment was conducted using 2 possible routes (A and B) and the three different drivers. For each route-driver combination, three trips were timed (in minutes). The data and partial ANOVA table are shown below.

Driver	Route A	Route B
1	32 29 35	29 26 26
2	41 34 33	40 42 35
3	42 35 34	29 33 31

Source	DF	SS	MS	F	P
Driver	2	193	96.5
Route	1	32	32
Interaction	2	73	36.5	3.27	0.0735
Error	12	134	11.2
Total	17	400

Note that interactions are significant at the = 0.10 level.

Use theMinitabcommandinvcdf(orqt()inR) to generate the correct criticalt-valueto use for multiple comparisons among the cell means.

1.What is the number of possible pairs of (Driver-Route) cell means?

2.What is the value of ^*? (Enter at least four significant digits after the decimal.)

3.The critical t-value has a student's t distribution with how many degress of freedom?

4.What is the critcal t-value?

5.Use a multiple testing procedure to determine which Driver-Route combinations are different at an experiment-wide error rate of = 0.10.

What is the absolute difference in Driver-Route cell means beyond which they are considered significantly different?

6.Select all Driver-Route comparisons that show significantly different means. Driver 1 and Route A versus Driver 1 and Route B Driver 1 and Route A versus Driver 2 and Route A Driver 1 and Route A versus Driver 2 and Route B Driver 1 and Route A versus Driver 3 and Route A Driver 1 and Route A versus Driver 3 and Route B Driver 1 and Route B versus Driver 2 and Route A Driver 1 and Route B versus Driver 2 and Route B Driver 1 and Route B versus Driver 3 and Route A Driver 1 and Route B versus Driver 3 and Route B Driver 2 and Route A versus Driver 2 and Route B Driver 2 and Route A versus Driver 3 and Route A Driver 2 and Route A versus Driver 3 and Route B Driver 2 and Route B versus Driver 3 and Route A Driver 2 and Route B versus Driver 3 and Route B Driver 3 and Route A versus Driver 3 and Route B