The average annual premium for automobile insurance in the United States is $2853. The annual premiums ($) listed on this worksheet are sample premiums from the state of Michigan. Assume the distrubution of insurance premium 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 premium in Michigan. Annual Premium 1905 2725 2677 2600 2962 2184 2332 3112 2545 2500 2370 2545 2300 2442 2312 2981 2627 2857 c. Does the 99% confidence interval for the annual automobile insurance premium in Michigan include the national average for the United States? *** Use proper formula to calculate and obtain the answers. You MAY use the Normal distribution or t distribution functions. Do not use Data Analysis functions to obtain the Margin of Error. The average annual premium for automobile insurance in the United States is $2853. The annual premiums ($) listed on this worksheet are sample premiums from the state of Michigan. Assume the distrubution of insurance premium 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 premium in Michigan. Annual Premium 1905 2725 2677 2600 2962 2184 2332 3112 2545 2500 2370 2545 2300 2442 2312 2981 2627 2857 c. Does the 99% confidence interval for the annual automobile insurance premium in Michigan include the national average for the United States? *** Use proper formula to calculate and obtain the answers. You MAY use the Normal distribution or t distribution functions. Do not use Data Analysis functions to obtain the Margin of Error