a. Assuming that the sample consists of n = 16 individuals, use a = .05 to determine whether the treatment effect is significant and compute both Cohen’s d and r² to measure effect size. b. Assuming that the sample consists of n = 31 individuals, repeat the test and compute both measures of effect size.

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4. To evaluate the effect of a treatment, a sample is obtained from a population with a mean
of u = 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 s? = 9.
a. Assuming that the sample consists of n= 16 individuals, use a = .05 to determine
whether the treatment effect is significant and compute both Cohen's d and r² to
measure effect size.
b. Assuming that the sample consists of n = 31 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 sample influence
the outcome of a hypothesis test and measure of effect size?
Transcribed Image Text:4. To evaluate the effect of a treatment, a sample is obtained from a population with a mean of u = 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 s? = 9. a. Assuming that the sample consists of n= 16 individuals, use a = .05 to determine whether the treatment effect is significant and compute both Cohen's d and r² to measure effect size. b. Assuming that the sample consists of n = 31 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 sample influence the outcome of a hypothesis test and measure of effect size?
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