The average annual premium for automobile insurance in the US is $1503. The following annual premiums are representative of the website's findings for Michigan state.
$1905, $2370, $2184, $2981, $2725, $2545, $2332, $2627, $2677, $2529, $3112, $2857, $2600, $2442, $2545, $2675, $2962, $2312, $2525, $2115
a) Provide a point estimate of the mean automobile insurance premium in Michigan.
b) Develop a 95% confidence interval for the mean annual automobile insurance premium in Michigan.
c) Does the 95% confidence interval for the annual automobile insurance premium in Michigan include the national average for the US? Interpret the relationship between auto insurance premiums in Michigan and the national average.