The mean annual premium for automobile insurance in the United States is $1,503. 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 $1,425 with a standard deviation of s = $165. (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. Ho: M S 1,503 Ha: H > 1,503 Ho: H 1,503 Ha: H S 1,503 Ho: M 2 1,503 Ha: H 0.27 Ha: P s 0.27 Ho: P S 0.27 H: P > 0.27 Ho: P