Question

In: Statistics and Probability

Forty-minute workouts of one of the following activities three days a week will lead to a...

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
413 420 390
385 490 245
430 450 295
400 415 397
422 525 273

Do these data indicate differences in the amount of calories burned for the three activities? Use a 0.05 level of significance.

Find the value of the test statistic.

Test statistic=___?___

Find the p-value. (Round your answer to three decimal places.)

p-value = ____?_____

Solutions

Expert Solution

Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):
Source SS df MS F P value
Between 50333.3333 2 25166.667 10.2665 0.003
Within 29416.0000 12 2451.3333
Total 79749.3333 14

from above

value of the test statistic F =10.267

p value =0.003

orchestra answered 3 years ago
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