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A sample of n = 9 individuals is selected from a population with µ = 50....

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.

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