Determine the effect size for one sample test.
A sample of n = 16 individuals is selected from a normal population with a mean of m =48 and a standard deviation of σ=12. After receiving a treatment, the sample mean is found to be M=52.
a. find out Cohen's d to compute the size of the treatment effect.
b. If the sample size were n=36, what value would be obtained for Cohen's d? How does sample size influence the measure of effect size?
c. If population standard deviation were s =24, what value would be obtained for Cohen's d? How does standard deviation influence the measure of effect size?
d. If sample mean were M=56, what value would be obtained for Cohen's d? How does the size of the mean difference influence measure of effect size?