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State the null and alternative hypotheses for the test

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To investigate whether online automobile insurance policies might be cheaper than the policies he can offer, a local insurance agent compared the automobile insurance premiums for five of his customers with price quotations for the same coverage from online insurance companies. Results are shown in the table. Test the null hypothesis that the mean of the difference in premiums for all automobile policies is zero versus the relevant alternative, as indicated below. Use α = .01. Assume a normal distribution of differences

Policy Local Online

1 568 391

2 491 488

3 605 677

4 783 703

5 907 1108

a. State the null and alternative hypotheses for the test

b. State the correct formula for the test statistic.

c. Construct the rejection region

d. Compute the value of the test statistic, and make a decision

Reference no: EM132402431

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