Question

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

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
403 410 390
375 480 250
425 445 295
400 415 407
422 525 273

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 ≠ MedianCH0: Not all populations of calories burned are identical.
Ha: All populations of calories burned are identical.    H0: MedianS ≠ MedianT ≠ MedianC
Ha: MedianS = MedianT = MedianCH0: MedianS = MedianT = MedianC
Ha: MedianS < MedianT > MedianCH0: All populations of calories burned are identical.
Ha: Not all populations of calories burned are identical.

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.    Reject H0. There is 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.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

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

value of the test statistic =8.820

p-value =0.012

since p value <0.05

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

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