- A sample is selected from a population with µ= 50.After a treatment is administered to the individuals in the sample,the mean is found to be M= 55 and the variance iss2= 64.
         a. For asample of n = 4 scores, conduct a single sample t-test toevaluate the
            significance of the treatment effect andcalculate Cohen’s d to measure the size of the
             treatment effect. Use a two-tailed test with α = .05.Showthe sampling distribution.(2pts)
         b. For asample of n = 16 scores, conduct a single sample t-test toevaluate the significance
           of the treatment effect and calculate Cohen’s d to measurethe size of the treatment effect.
Use a two-tailed test with α= .05. Show the sampling distribution. (2 pts)
         c. Usingsymbols, write up your results. Describe how increasing the size ofthe sample
affects the likelihood of rejectingthe null hypothesis and the measure of effect size. (1 pt)
