Question

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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 Tennis Cycling 450 300 427 530 268 Do these data indicate differences in the amount of calories burned for the three activities? Use a 0.05 level of significance State the nulidaternative hypotheses Hoi Medians - Media - Mediane Medians - Median Medan He: All populations of calories burned are identical. M: Not all populations of calories burned are identical Ho: Medians - Median Median Medians - Mediany - Mediane Ho: Not all populations of calories burned are identical. H! All populations of calories burned are identicall Ho: Medians - Media - Mediane M: Median < Mediany > Median Find the value of the test statistic Find the p-value (Round your answer to three decimal places.) What is your conclusion? Do not reject Ho There is not sufficient evidence to conclude that there is a grificant difference in the amount of calories burned for the three activities Do not reject WoThere is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the amount of calories bumed for the three activities.

Zoomed in view:

Answer 1

The statistical software output for this problem is :

Kruskal-Wallis results: Data stored in separate columns. DF Chi-Square P-value 2 9.74 0.0077 Ave. Rank Summary statistics Column nMedian 408 5 450 300 5 8.4 12.2 3.4

Option B is correct.

Test statistics = 9.74

P-value = 0.008

Option D is correct .