Forty-minute workouts of one of the following activities three days a week will

Question

Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. The following sample data show the number of calories burned during 40-minute workouts for three different activities Swimming 408 380 425 400 427 Tennis 415 485 450 420 530 Cycling 385 250 295 402 268 Use a .05 level of significance. Use Table 1 of Appendix E a. What is the sum of the ranks for A, B and C (to the nearest whole number)? Sum of Rank Swimming Sum of Rank Tennis Sum of Rank Cycling b. What is the value of the test statistic (to 2 decimals)? How many degrees of freedom? c. What is the p-value? Select Do these data indicate differences in the amount of calories burned for the three activities? Select What is your conclusion? Select

Explanation / Answer

a)

Based on order, following would be the ranks assigned: -

Swimming

Tennis

Cycling

8

9

5

4

14

1

11

13

3

6

10

7

12

15

2

41

61

18

Sum

8.2

12.2

3.6

Average

Swimming

Tennis

Cycling

Total

Count

5

5

5

15

Sum

41

61

18

120

Average

8.2

12.2

3.6

8

b)

H=12/N(N+1)*(E(Tg)^2/ng)-3(N+1)

H=12/15(15+1)*(41^2/5+61^2/5+18^2/5)-3(15+1)

H=0.05*1145.2-48

H=9.26

DF=3-1=2

c)

critical value=5.729

Yes

Reject the null hypothesis

Swimming

Tennis

Cycling

8

9

5

4

14

1

11

13

3

6

10

7

12

15

2

41

61

18

Sum

8.2

12.2

3.6

Average

Swimming

Tennis

Cycling

Total

Count

5

5

5

15

Sum

41

61

18

120

Average

8.2

12.2

3.6

8

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