In: Statistics and Probability
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 = ____?_____
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