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Mathematics, 29.07.2020 21:01 Idontknow708

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 $1,425 with a standard deviation of s = $160. 1) 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.) 2) At α = 0.05, test for a significant difference. a) Find the value of the test statistic. (Round your answer to three decimal places.) b) Find the p-value. (Round your answer to four decimal places.)

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