The mean annual premium for automobile insurance in the united states is $1503 (insure website, march 6, 2014). being from pennsylvania, you believe automobile insurance is cheaper there and wish 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 $1440 with a standard deviation of s = $165. if required, enter negative values as negative numbers.

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 0: μ h a: μ
b. what is a point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar)? $ c. at = .05, test for a significant difference by completing the following. calculate the value of the test statistic (to 2 decimals). the p-value is what is your conclusion?