The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 2014. Being from Pennsylvania at that time, you believed automobile insurance was cheaper there and decided to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1,435 with a standard deviation of - $170. (a) Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium H-1,503 H₁1,503 >1,503 Hs 1,503 How21,503 H: < 1,503 $1,503 H>1,503 Hg 1,503 M1,503 (b) What is a point estimate in dollars of the difference between the mean annual premium in Pennsylvania and the national mean? (Use the mean annual premium in Pennsylvania minus the national mean.) $ (c) At a-0.05, test for a significant difference. Find the value of the test statistic. (Round your answer to three decimal places) x Find the p-value. (Round your answer to four decimal places) .

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