Question: A consumer agency wanted to investigate if four insurance companies differed with

regard to the premiums they charge for auto insurance. The agency randomly selected

a few auto drivers who were insured by these four companies and had similar driving

records, autos and insurance policies. The following table gives the premiums paid per

month by these drivers with these four insurance companies.

COMPANY A COMPANY B COMPANY C COMPANY D

75 59 65 76

83 75 70 60

68 100 97 52

52 90 58

73

Assume all assumptions are satisfied and test the hypothesis that the population means are the same using a 1% level of significance.