The data below represent the weight losses for people on three different exercise programs.
Exercise A |
Exercise B |
Exercise C |
xbar = 6.7 | xbar = 4.16 | xbar = 6,46 |
s = 2.94 |
s =2.94 |
s =1.58 |
n = 5 |
n = 5 |
n = 5 |
At the 1% significance level, do the data provide sufficient evidence that a difference exists in the true mean weight loss produced by the three exercise programs? Perform a critical value test. (Assume all assumptions satisfied.)
Hypotheses:
Test statistic:
Source |
Sum of Squares |
df |
Mean Square |
F |
Between Groups |
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W/in Groups (error) |
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Total |
Critical-value:
Conclusion:
Interpretation of hypothesis test conclusion:
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