Question

Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. Suppose the following sample data show the number of calories burned during 40-minute workouts for three different activities.

Swimming	Tennis	Cycling
403	415	390
385	485	255
420	450	295
395	425	402
422	530	268

Do these data indicate differences in the amount of calories burned for the three activities? Use a 0.05 level of significance.

Find the value of the test statistic._____

Find the p-value. (Round your answer to three decimal places.)

p-value = _____

The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way II.

M&M's	Kit Kat	Milky Way II
230	225	200
220	215	218
240	245	202
250	235	190
230	210	180

Test for significant differences among the calorie content of these three candies.

Find the value of the test statistic. (Round your answer to two decimal places.)___

Find the p-value. (Round your answer to three decimal places.)

p-value = ____

The National Football League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each will be selected in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected.

ACC		Big Ten		PAC-12		SEC
College Attended	Projected Draft Position	College Attended	Projected Draft Position	College Attended	Projected Draft Position	College Attended	Projected Draft Position
Florida State	1	Iowa	7	USC	2	Florida	3
Clemson	5	Michigan St	10	Oregon	9	Alabama	4
Miami	8	Nebraska	11	Oregon	15	Kentucky	6
Georgia Tech	14	Minnesota	26	Washington	16	Texas A&M	12
Louisville	18	Wisconsin	27	UCLA	19	Missouri	13
Wake Forest	20			UCLA	21	Alabama	17
Florida State	22			Stanford	23	LSU	25
Virginia Tech	28			Arizona St	24	LSU	29

Use the Kruskal-Wallis test to determine if there is any difference among NFL teams for players from these four conferences. Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)____

What is the p-value? (Round your answer to three decimal places.)

p-value =____

Answer 1