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

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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
420
390
375
490
255
425
445
290
395
415
397
432
530
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.
O Ho: All populations of calories burned are identical.
H: Not all populations of calories burned are identical.
Ho: Medians = Median,
Medianc
%3D
H: Medians + Median, + Medianc
Ho: Medians
+ Median, + Medianc
Hạ: Mediang = Median, = Medianc
%3D
Ho: Medians = Median-
Medianc
%D
Ha: Medians < Median, > Medianc
Ho: Not all populations of calories burned are identical.
: 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 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 not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.
Do pot reiect H
There is sufficcient evidence to concclude that there is a sianificant difference in the a mount of calories burned for the three activities
O O
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 activities. Swimming Tennis Cycling 403 420 390 375 490 255 425 445 290 395 415 397 432 530 263 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. O Ho: All populations of calories burned are identical. H: Not all populations of calories burned are identical. Ho: Medians = Median, Medianc %3D H: Medians + Median, + Medianc Ho: Medians + Median, + Medianc Hạ: Mediang = Median, = Medianc %3D Ho: Medians = Median- Medianc %D Ha: Medians < Median, > Medianc Ho: Not all populations of calories burned are identical. : 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 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 not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. Do pot reiect H There is sufficcient evidence to concclude that there is a sianificant difference in the a mount of calories burned for the three activities O O
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