A national car rental company is interested in determining whether the mean days that customers rent cars is the same between three of its major cities. The following data reflect the number of days people rented a car for a sample of people in each of three cities.

Nizwa, Sohar, Muscat
  5           7          7
  3           7          5
  7          11         8
  1           5         11
  2           7          15
   9          3          17

a. Write down the null and alternative hypotheses to be tested.

b. Construct the ANOVA table.

c. Given the value of the tabulated F = 3.68 (α=.05), test the hypotheses you formulated in ‘a’ above.

d. Clearly state the test’s decision and conclusion.

e. Perform pairwise comparisons and make conclusions (using t = 1.5).