PSY 2100 Statistical Methods Assignement 6 Please help me solve this

PSY 2100 Statistical Methods Name: Assignment 6 Section: Please show your work. neatly and in enough detail for me to give partial credit when due. 1. A random sample of N=16 scores is obtained from a population with a mean of # = 80 (assume o is unknown) and a treatment is administered to the sample. After treatment, the sample mean is found to be M - 82 with a standard deviation of S = 8. Higher scores indicate better health. Using a single sample t-test. evaluate the hypothesis that the treatment had an effect. a. Using symbols, state the hypotheses (I lo and lli) for a two-tailed test. (1 point) b. Find the critical value of the rejection region for m = 05 using a two-tailed test. (1 point) c. Calculate the test statistic ({-statistic) for the sample. (1 point) d. Make a decision regarding the hypothesis based on your results and write a conclusion sentence summarizing the results of the research. (I point) e. Extra Credit (1 point): Calculate the effect size (using Cohen's d formula) for the mean difference. Interpret the effect size (small, medium, or large)