In: Statistics and Probability
The ABC insurance INC. reports that the mean annual premium for automobile insurance in the United States was $1608 in summer 2018. However, you believed automobile insurance was cheaper in North Carolina and decided to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of North Carolina showed a mean annual premium of $1560 with a standard deviation of s = $165. a. Develop a hypothesis test that can be used to determine whether the mean annual premium in North Carolina was lower than the national mean annual premium. b. At a = .05, test for a significant difference. What is your conclusion?