8. A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treat- ment is administered to the individuals in the sample %3D

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A random sample of \( n = 16 \) scores is obtained from a population with a mean of \( \mu = 45 \). After a treatment is administered to the individuals in the sample, the sample mean is found to be \( M = 49.2 \).

a. Assuming that the sample standard deviation is \( s = 8 \), compute \( r^2 \) and the estimated Cohen’s \( d \) to measure the size of the treatment effect.

b. Assuming that the sample standard deviation is \( s = 20 \), compute \( r^2 \) and the estimated Cohen’s \( d \) to measure the size of the treatment effect.

c. Comparing your answers from parts a and b, how does the variability of the scores in the sample influence the measures of effect size?
Transcribed Image Text:A random sample of \( n = 16 \) scores is obtained from a population with a mean of \( \mu = 45 \). After a treatment is administered to the individuals in the sample, the sample mean is found to be \( M = 49.2 \). a. Assuming that the sample standard deviation is \( s = 8 \), compute \( r^2 \) and the estimated Cohen’s \( d \) to measure the size of the treatment effect. b. Assuming that the sample standard deviation is \( s = 20 \), compute \( r^2 \) and the estimated Cohen’s \( d \) to measure the size of the treatment effect. c. Comparing your answers from parts a and b, how does the variability of the scores in the sample influence the measures of effect size?
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