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

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Basic Math

A sample of n = 9 individuals is selected from a population withµ = 50. After a treatment is administered to the individuals, thesample mean is found to be M = 54. The sums of squares is SS =72.The researchers want to address whether the obtained sample mean isdifferent from the population mean at ? = .05, two-tailed.

a. Following the steps of a hypothesis test,determine whether the obtained sample mean is different from thepopulation mean.

b. Calculate Cohen’s d and r2.

c. Write a sentence demonstrating how theresults of the hypothesis test and the measure of effect size (useeither d or r2) would appear in a research report.

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