Question: 8.2 Number 3b ***** what data do you need? Annual Premium 1911 3119 2380 2732 2554 2921 2680 2591 2620 2600 2377 2830 2958 2531
8.2 Number 3b ***** what data do you need?
| Annual Premium |
| 1911 |
| 3119 |
| 2380 |
| 2732 |
| 2554 |
| 2921 |
| 2680 |
| 2591 |
| 2620 |
| 2600 |
| 2377 |
| 2830 |
| 2958 |
| 2531 |
| 2686 |
| 2114 |
| 2526 |
| 2161 |
| 2390 |
| 2453 |
The average annual premium for automobile insurance in the United States is $1571. A representative sample of annual premiums for the state of Michigan is contained in the Excel Online file below. Assume the population is approximately normal. Construct a spreadsheet to answer the following questions.
a. Provide a point estimate of the mean annual automobile insurance premium in Michigan.
$_________ (to the nearest dollar)
b. Develop a 95% confidence interval for the mean annual automobile insurance premium in Michigan.
($_______ , $________) (to the nearest cent)
c. What is your interpretation of the relationship between auto insurance premiums in Michigan and the national average?
We would be __________% confident that auto insurance premiums in Michigan are above the national average.
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