The mean annual premium for automobile insurance in the united states is $1503 (insure. com 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. h0: μ - select your answer -greater than 1503greater than or equal to 1503equal to 1503less than or equal to 1503less than 1503not equal to 1503item 1ha: μ - select your answer -greater than 1503greater than or equal to 1503equal to 1503less than or equal to 1503less than 1503not equal to 1503item 2b. 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 α = .05, test for a significant difference by completing the following. calculate the value of the test statistic (to 2 decimals).the p-value is - select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20item 5what is your conclusion? - select your answer -the population mean automobile premium is higher in pennsylvania than the national mean. the population mean automobile premium is lower in pennsylvania than the national mean.