Question
A repeated-measures study with a sample of n = 6 participants produces a mean difference of MDD= 4 with SS= 30. Use a two-tailed hypothesis
A repeated-measures study with a sample of n = 6 participants produces a mean difference of MDD= 4 with SS= 30. Use a two-tailed hypothesis test with = .05 to determine whether this sample provides evidence of a significant treatment effect.
t-critical | = | |
t | = |
t Distribution
Degrees of Freedom = 21
-3.0-2.0-1.00.01.02.03.0t.5000.50000.000
Rejection of the null hypothesis; there is a significant treatment effect.
Rejection of the null hypothesis; there is not a significant treatment effect.
Failure to reject the null hypothesis; there is a significant treatment effect.
Failure to reject the null hypothesis; there is not a significant treatment effect.
Now assume that the sample standard deviation is SS = 480 and repeat the hypothesis test.
t-critical | = | |
t | = |
Failure to reject the null hypothesis; there is a significant treatment effect.
Rejection of the null hypothesis; there is a significant treatment effect.
Rejection of the null hypothesis; there is not a significant treatment effect.
Failure to reject the null hypothesis; there is not a significant treatment effect.
Explain how sample variability influences the likelihood of finding a significant mean difference.
Low sample variability the likelihood of rejecting the null hypothesis if the null hypothesis is false.
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