In: Statistics and Probability
For each of the following sets of results, compute the
appropriate test statistic, test the indicated alternative
hypothesis, and compute the effects size(s) indicating their
magnitude:
set | Hypothesis | μ0 | σ | n | α | |
a) | μ ≠ μ0 | 54.7 | 55 | 3.9 | 49 | 0.15 |
b) | μ > μ0 | 68.6 | 68 | 6.5 | 34 | 0.20 |
c) | μ < μ0 | 103.3 | 100 | 9.2 | 47 | 0.05 |
a)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Compute the corresponding effect size(s) and indicate
magnitude(s).
d = ; ---Select--- na trivial
effect small effect medium effect large effect
b)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Compute the corresponding effect size(s) and indicate
magnitude(s).
d = ; ---Select--- na trivial
effect small effect medium effect large effect
c)
Compute the appropriate test statistic(s) to make a decision about
H0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Compute the corresponding effect size(s) and indicate
magnitude(s).
d = ; ---Select--- na trivial
effect small effect medium effect large effect