38. FILE The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He selects a sample of 15 families, some with only a single insured driver, others with several teenage drivers, and pays each family a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the deductible amount and limits of liability, are standardized. The data for the sample of families and their two insurance quotes are reported below. At the .10 significance level, can we conclude that there is a difference in the amounts quoted? Family Becker Berry Cobb Debuck DuBrul Eckroate German Glasson King Kucic Meredith Obeid Price Phillips Tresize Midstates Car Insurance $2,090 1,683 1,402 1,830 930 697 1.741 1,129 1,018 1.881 1,571 874 1,579 1,577 860 Gecko Mutual Insurance $1,610 1,247 2,327 1,367 1,461 1,789 1,621 1,914 1,956 1.772 1,375 1,527 1,767 1.636 1.188 a. What are the assumptions for this problem? Which case is this problem? (CASE A, B, or C?) b. State the null and alternative hypothesis for this problem. c. State the level of significance for this problem. I d. Which distribution (normal or :) should be used in this problem? Explain why. e. Create a decision rule for this problem. Include the critical value. (USE TEXTBOOK TABLE.) Make sure it agrees with the excel printout. f. Calculate the test statistic (BY HAND). Make sure it agrees with the excel printout. I g. What is your conclusion? EXPLAIN IN DETAIL. h. Estimate the p-value for this problem. Restate the conclusion. What is the actual p-value from the excel printout