Question

 

One Hypothesis test is an F test for the equality of the variances of travel Times and the second test is a T-test for the equality of the means of travel times in MINUTES. The F test must be performed first in order to select either Case1 or Case 2 for the T-test as listed in chapter 5. Then perform the Required T-test (either case 1 or 2 depending on your findings of the F-test). Also in the Conclusion and Recommendations section 5, You Must state your findings and the reasons for the existence of differences in the two means and or the existence of differences between the two variances and You Must recommend any future Hypothesis tests and other steps or other ways to collect the data in the future to make an inference about the mean travel times and their variances.

Data from a to b:

40
38
60
48
31
64
43
31
36
47
48
41
32
25
42
60
40
35
35
31
58
41
51
54
58
24
35
43
46
39
24
37
37
41
31
37
32
44

Data from B to A:

40
31
35
35
42
40
35
35
40
35
40
34
27
28
38
20
33
48
45
42
35
40
35
36
37
32
33
31
41
32
36
26
33
33
31
43
38
37

Answer 1

The p-value is 0.005 and less than 0.05 level of significance. Hence, we can reject the null hypothesis and conclude that these two samples are drawn from two population having significantly different population means.