1)The average mpg usage for a 2017 Toyota Prius for a sample of 15 tanks of gas was 44.4 with a standard deviation of 2.0. For a 2017 Ford Fusion, the average mpg usage for a sample of 15 tanks of gas was 42.9 with a standard deviation of 2.1.

Assuming equal variances, at?= .01, is the true mean mpg lower for the Ford Fusion?

a)Calculate thet_calc.(Round your answer to 4 decimal places.)

b)Calculate thep-value using Excel.(Round your answer to 4 decimal places.)

2) In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options.

Suppose a follow-up survey shows that 48of 400 persons now rate Pepsi as being "concerned with my health."

a) Calculate thezstatistic.(Round your answer to 3 decimal places.)

3)The mean potassium content of a popular sports drink is listed as 148 mg in a 32-oz bottle. Analysis of 40 bottles indicates a sample mean of 147.4 mg.

a) Assuming a known standard deviation of 2.9 mg, calculate theztest statistic to test the manufacturer's claim.(Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

b)Find thep-value.(Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)

4) A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?

Wow

Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 548 523 493 721 UTAWNY 609 695 567 510 432 532