DATA file Autoinsurance 20. Assignment 3 The average annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). The following annual premiums ($) are representa- tive of the website's findings for the state of Michigan. 1905 2725 2677 2600 2962 2184 2332 3112 2545 2525 2370 2545 2529 2442 2312 2981 2627 2857 2675 2115 Assume the population is approximately normal. a. Provide a point estimate of the mean annual automobile insurance premium in Michigan. b. Develop a 95% confidence interval for the mean annual automobile insurance pre- mium in Michigan. C. Does the 95% confidence interval for the annual automobile insurance premium in Michigan include the national average for the United States? What is your interpreta- tion of the relationship between auto insurance premiums in Michigan and the national average?

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