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To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of H = 50, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 55. a. Assuming that the sample variance is s² = 32, use a two-tailed hypothesis test with a = .05 to determine whether the treatment effect is significant and compute both Cohen’s d and p² to measure effect size. b. Assuming that the sample variance is s² = 72, repeat the test and compute both measures of effect size. c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test and measures of effect size?

To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of H = 50, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 55. a. Assuming that the sample variance is s² = 32, use a two-tailed hypothesis test with a = .05 to determine whether the treatment effect is significant and compute both Cohen’s d and p² to measure effect size. b. Assuming that the sample variance is s² = 72, repeat the test and compute both measures of effect size. c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test and measures of effect size?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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18. To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of H = 50, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 55. %3| a. Assuming that the sample variance is s² = 32, use a two-tailed hypothesis test with a = .05 to α determine whether the treatment effect is significant and compute both Cohen's d and p² to measure effect size. b. Assuming that the sample variance is 32 = 72, repeat the test and compute both measures of effect size. c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test and measures of effect size?
Transcribed Image Text:18. To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of H = 50, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 55. %3| a. Assuming that the sample variance is s² = 32, use a two-tailed hypothesis test with a = .05 to α determine whether the treatment effect is significant and compute both Cohen's d and p² to measure effect size. b. Assuming that the sample variance is 32 = 72, repeat the test and compute both measures of effect size. c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test and measures of effect size?
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