Consumer Reports rated 15 midpriced family sedans and 15 affordable family sedans. The following data show the road-test scores (1 to 100 scale with 100 the highest rating) for the 30 cars (Consumer Reports, February 2008).

Midpriced Family Sedans.............................Affordable Family Sedans

89.....................................................................................85

88.....................................................................................79

87.....................................................................................78

86.....................................................................................77

84.....................................................................................76

77.....................................................................................75

77.....................................................................................74

75.....................................................................................69

70.....................................................................................69

69.....................................................................................69

64.....................................................................................64

58.....................................................................................62

56.....................................................................................59

48.....................................................................................49

46.....................................................................................44

a. Formulate hypotheses so that if the null hypothesis is rejected, we can conclude that the mean road-test score for midpriced family sedans is significantly greater than the mean road-test score for affordable family sedans. Use α = .05.

b. What is the point estimate of the difference between the mean road-test score for mid priced family sedans and the mean road-test score for affordable family sedans?

c. Compute the p-value for the hypotheses formulated in part (a).

d. Using the p-value computed in part (c) and α = .05, what is your conclusion.