Separate and pooled variance Tests

A survey is conducted to see whether male and female drivers differ in the number of kilometers they drive per day. 19 males and 19 females were randomly selected in the survey and the followings are the results:

Males:

Sample Mean = 29.63 kilometers

Sample Variance = 453.13

Females:

Sample Mean = 30.52kilometers

Sample Variance = 182.59

Test whether male and female drivers differ in the number of kilometres they drive per day. In other words test the following hypotheses:

H0: 1- 2= 0

H1: 1- 2 0

Assume population variances arenotequal.

Used.f. = 30and alpha of10%to conduct the test.

a) What is thecritical value for this test? (3 marks)

b) What is the Decision Rule? (3 marks) (e.g. Reject the null ifthe test stat is< or > ???)

c) What is the Test Statistic? (5 marks)

d) What is the conclusion? (3 marks)