Please use the following information to answer question 9a & 9b: A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ = 49.2. 9a. Assuming that the sample standard deviation is s = 20, calculate r2 (MUST SHOW WORK FOR THIS PROBLEM). Note: You must provide calculations for the t-statistic, in addition to r2.
Please use the following information to answer question 9a & 9b:
A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ = 49.2.
9a. Assuming that the sample standard deviation is s = 20, calculate r2 (MUST SHOW WORK FOR THIS PROBLEM).
Note: You must provide calculations for the t-statistic, in addition to r2.
9b. Calculate Cohen's d to measure the size of the treatment effect (MUST SHOW WORK FOR THIS PROBLEM).
Comparing your answers from 8 (a&b) and 9 (a&b), fill in the blank to properly describe how the variability of scores in the sample influence the measures of effect size.
(8. A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ = 49.2.
9. A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ = 49.2.)
10. Measures of effect size tend to with an increase in sample variance.
Note: Your response for this should either be increase, decrease, or remains constant.
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