1)A study of Boston and New York City compared their daily average rate car rental rates to see if cars cost more to rent in New York than they do in Boston on average.A random sample across a total of 60 days of data were collected for Boston with a daily average rate of $107.43 and a standard deviation of $21.20. For New York a random sample of 65 days of data were collected with a mean of $118.8 and a standard deviation of $25.3. Use a t-critical value of 2.00. (9 pts)

a.What are the null hypothesis H_oand alternative hypothesis H_a? (1 pt)

b.What are the assumptions (conditions) of this test, and were they met? (1 pt)

c.Calculate the appropriate test statistic for this test. Show your work. (3 pts)

d.Calculate the confidence interval for this test. (2 pts)

e.What is your answer to the research question? Include statistics, including your confidence interval, in your answer. (2 pts)