Question

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		n	α
a)	μ ≠ μ0	99.9	99.1	3	26	0.05
b)	μ > μ0	22.6	20.6	6.6	27	0.10
c)	μ < μ0	49.1	55	8.1	23	0.01

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 =  ; Magnitude:  ---Select--- na trivial effect small effect medium effect large effect
r² =  ; Magnitude:  ---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 =  ; Magnitude:  ---Select--- na trivial effect small effect medium effect large effect
r² =  ; Magnitude:  ---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 =  ; Magnitude:  ---Select--- na trivial effect small effect medium effect large effect
r² =  ; Magnitude:  ---Select--- na trivial effect small effect medium effect large effect

Answer 1

The critical values are determined from the normal distribution tables which are attached and the values and their probabilities values are marked and circle respectively.The test statistic is calculated using the formula mentioned and based on that the decision is made.The d value and r^2 values and also calculated using the formula mentioned and based on that the magnitude is determined.