Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight, assuming no change in calories consumed. The following sample data show the number of calories burned during 40-minute workouts for three different activities. Swimming Tennis 403 380 430 400 432 410 480 450 420 525 Ho: Median + Median, + Median H₂: Median = Median+ = Median Cycling 390 O Ho: Median = Median+ = Median H₂: Median Median, + Median # 245 290 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. Ho: Median = Median+ = Median H₂: Median < Median+ > Median 407 263 O Ho: Not all populations of calories burned are identical. H₁: All populations of calories burned are identical. O Ho: All populations of calories burned are identical. H₁: Not all populations of calories burned are identical. a Find the value of the test statistic. 10.14 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.006 X 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. Do not reject Ho. There 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 burned for the three activities.

MATLAB: An Introduction with Applications
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Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight, assuming no change in
calories consumed. The following sample data show the number of calories burned during 40-minute workouts for three different
activities.
Swimming Tennis Cycling
403
380
430
400
432
410
480
450
420
525
Ho: Median = Median+ = Median
H₂: Median + Median+ + Median
#
#
390
245
Ho: Median = Median+ = Median
H₂: Median < Median, > Medianc
290
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.
Ho: Median Median+ + Median
H₂: Median = Median+ = Median
Find the value of the test statistic.
10.14 X
407
Ho:
: Not all populations of calories burned are identical.
H₁: All populations of calories burned are identical.
263
Ho: All populations of calories burned are identical.
H₂
a: Not all populations of calories burned are identical.
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.006
X
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.
Do not reject Ho. There 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 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, assuming no change in calories consumed. The following sample data show the number of calories burned during 40-minute workouts for three different activities. Swimming Tennis Cycling 403 380 430 400 432 410 480 450 420 525 Ho: Median = Median+ = Median H₂: Median + Median+ + Median # # 390 245 Ho: Median = Median+ = Median H₂: Median < Median, > Medianc 290 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. Ho: Median Median+ + Median H₂: Median = Median+ = Median Find the value of the test statistic. 10.14 X 407 Ho: : Not all populations of calories burned are identical. H₁: All populations of calories burned are identical. 263 Ho: All populations of calories burned are identical. H₂ a: Not all populations of calories burned are identical. Find the p-value. (Round your answer to three decimal places.) p-value = 0.006 X 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. Do not reject Ho. There 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 burned for the three activities.
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Find the value of the test statistic.
8.94
x
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.004
Transcribed Image Text:Find the value of the test statistic. 8.94 x Find the p-value. (Round your answer to three decimal places.) p-value = 0.004
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