In: Statistics and Probability
A sample of n = 16 individuals is selected from a population with µ = 30. After a treatment is administered to the individuals, the sample mean is found to be M = 33. A. Assume that the sample variance is s2 = 16. Compute a single sample t-test to evaluate if the treatment produced a significant effect and calculate r2 to measure the size of the treatment effect. Use a two-tailed test with α = .05. B. Now, assume that the sample variance is s2 = 64,. Compute a single sample t-test to evaluate if the treatment was effective and calculate r2 to measure the size of the treatment effect. Use a two-tailed test with α = .05. (Note: in order to receive full credit for part A & B of this question you must show all computational steps, the critical t value for the decision regarding the null hypothesis and the final conclusion reported in APA style format, see example of conclusion on the PowerPoint slides)
Answer:
a)Test for Single Mean:
Effect Size which is medium effect
b)Test for single mean:
Effect Size: