In: Math
To evaluate the effect of a treatment, a sample is obtained from a population with a mean of μ = 20 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 21.3 with a variance of s2 = 9. a. Assuming that the sample consists of n = 16 individuals, use a two-tailed test with α =0.05 to determine whether the treatment effect is significant and compute both Cohen's d and r2 to measure effect size. are the data sufficient to conclude that the treatment has a significant effect ? b. Assuming that the sample consists of n = 36 individuals, repeat the test and compute both measures of effect size? c. Comparing your answers for parts a and b, how does the size of the sample influence the outcome of a hypothesis test and the measurement of effect size?