In: Math
A sample of n = 9 individuals is selected from a population with µ = 50. After a treatment is administered to the individuals, the sample mean is found to be M = 54. The sums of squares is SS =72. The researchers want to address whether the obtained sample mean is different from the population mean at α = .05, two-tailed.
a. Following the steps of a hypothesis test, determine whether the obtained sample mean is different from the population mean.
b. Calculate Cohen’s d and r2.
c. Write a sentence demonstrating how the results of the hypothesis test and the measure of effect size (use either d or r2) would appear in a research report.