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You may need to use the appropriate technology to answer this question. Forty-minute workouts of one...

You may need to use the appropriate technology to answer this 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
403 410 380
385 480 255
420 445 295
400 425 397
427 525 263

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

State the null and alternative hypotheses.

H0: MedianS ≠ MedianT ≠ MedianC
Ha: MedianS = MedianT = MedianC

H0: Not all populations of calories burned are identical.
Ha: All populations of calories burned are identical.     

H0: MedianS = MedianT = MedianC
Ha: MedianS ≠ MedianT ≠ MedianC

H0: All populations of calories burned are identical.
Ha: Not all populations of calories burned are identical.

H0: MedianS = MedianT = MedianC
Ha: MedianS < MedianT > MedianC

Find the value of the test statistic.

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

p-value =

What is your conclusion?

Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.     

Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

Reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

math   Statistics-And-Probability   
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Answer #1

The statistical software output for this problem is:

Kruskal-Wallis results: Data stored in separate columns. DF Chi-Square P-value 2 10.64 0.0049 Summary statistics Column. n. M

Hence,

Hypotheses:

H0: All populations of calories burned are identical.
Ha: Not all populations of calories burned are identical.

Test statistic = 10.64

P - value = 0.005

Conclusion: Reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. Option D is correct.

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