The following values are annual car insurance premiums ($) from a 2014 sample of car owners living in Michigan. Use it to answer/do the following. Round everything to the penny, like 1,234.56 or 1,235.56 ± 789.12 for confidence intervals.

1,905 2,725 2,677 2,600 2,962 2,184 2,332 3,112 2,545 2,525

(a) Estimate the mean (average) car insurance premium.

(b) Develop a 90% confidence interval for the mean in (a).

(c) Develop a 95% confidence interval for the mean in (a).

(d) Develop a 99% confidence interval for the mean in (a).

(e) The national average car premium was $1,503 in 2014. Compare this to your answers for (b)-(d). What can you say about car insurance in Michigan?