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 thre

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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
375
485
250
420
455
290
405
415
397
427
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.
O H: Median, = Median, = Median.
H: Medians + Median, + Median.
O Ho: Median, + Median, + Median.
H: Median, - Median, = Median.
O H,: Not all populations of calories burned are identical.
H: All populations of calories burned are identical.
O Ho: All populations of calories burned are identical.
H: Not all populations of calories burned are identical.
O Hg: Mediang = Median, = Medianc
H: Median, < Median, > Median.
Find the value of the test statistic.
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
O Do not reject Ha. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.
O Reject H,. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.
O Do not reject H,. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.
O Reject H.. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.
Transcribed Image Text: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 403 410 380 375 485 250 420 455 290 405 415 397 427 525 273 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. O H: Median, = Median, = Median. H: Medians + Median, + Median. O Ho: Median, + Median, + Median. H: Median, - Median, = Median. O H,: Not all populations of calories burned are identical. H: All populations of calories burned are identical. O Ho: All populations of calories burned are identical. H: Not all populations of calories burned are identical. O Hg: Mediang = Median, = Medianc H: Median, < Median, > Median. Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? O Do not reject Ha. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. O Reject H,. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. O Do not reject H,. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. O Reject H.. 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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