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 activit Swimming Tennis Cycling

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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 activitie
Swimming
Tennis
Cycling
408
410
380
385
480
250
420
445
300
400
425
402
432
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: All populations of calories burned are identical.
H.: Not all populations of calories burned are identical.
O Ho: Mediang = Median, = Median.
H: Median, < Median, > Median,
O Ho: Mediang + Median, + Median.
H: Mediang = Median, = Median,
O Ho: Mediang = Median, = Median.
H: Mediang + Median, # Median,
O H,: Not all populations of calories burned are identical.
H.: 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?
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.
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 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.
Transcribed Image Text: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 activitie Swimming Tennis Cycling 408 410 380 385 480 250 420 445 300 400 425 402 432 525 273 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: All populations of calories burned are identical. H.: Not all populations of calories burned are identical. O Ho: Mediang = Median, = Median. H: Median, < Median, > Median, O Ho: Mediang + Median, + Median. H: Mediang = Median, = Median, O Ho: Mediang = Median, = Median. H: Mediang + Median, # Median, O H,: Not all populations of calories burned are identical. H.: 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? 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. 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 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.
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