(a) A study was designed to estimate the difference in diastolic blood pressure readings between men and women. Assume normality of blood pressure readings. Hint: According to Minitab, df = 26. (Round all answers to the nearest hundredth.)

Males	77	77	75	71	81	69	91	71	91	73	77	81	69	73	97	81
Females	75	69	81	89	67	59	61	67	79	73	59	61	71

	Mean	StDev
Males	78.375	8.350
Females	70.077	9.224

(i) Find a 99% confidence interval for the difference between the means.

(b) Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 18 wheels of Gouda and finds the mean is 1.3 lb with a standard deviation of 0.3 lb; she then randomly samples 10 wheels of Brie and finds a mean of 0.95 lb and a standard deviation of 0.21 lb. What is the p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)

(c) If a random sample of 30 homes south of a town has a mean selling price of $145,075 and a standard deviation of $4900, and a random sample of 16 homes north of a town has a mean selling price of $148,500 and a standard deviation of $5975, can you conclude that there is a significant difference between the selling price of homes in these two areas of the town at the 0.05 level? Assume normality.

(i) Find t. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your answer to four decimal places.)

2. Twenty laboratory mice were randomly divided into two groups of 10. Each group was fed according to a prescribed diet. At the end of 3 weeks, the weight gained by each animal was recorded. Do the data in the following table justify the conclusion that the mean weight gained on diet B was greater than the mean weight gained on diet A, at the = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.)

Diet A	11	13	13	11	10	12	8	5	5	12
Diet B	23	17	6	20	6	21	9	21	22	12

(i) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.)