Illustrate all the calculation
1.To test effectiveness of treatment, sample of n = 25 people is selected from normal population with mean of µ = 60. After treatment is administered to individuals in sample, sample mean is found to be M = 55.
a. If population standard deviation is σ = 10, can you conclude that treatment has significant effect? Use two-tailed with α = .05.
b. If population standard deviation is σ = 20, can you conclude that treatment has significant effect? Use two-tailed test with α = .05.
c. Calculate Cohen's d measure effect size for both tests (σ = 20 and σ = 10).
d. Explain how sample size affect outcome of hypothesis test. How does sample size affect measures of effect size?