Question: A new weight loss drug was tested on a group of eight obese men. Each man was weighed before being administered a 3-month regimen of the drug and each was weighed after using the drug. The investigator wanted to know if there was a significant reduction in mean weight for this sample. (7 points)

a. What is the independent variable? (¼ pt)

b. What is the dependent variable? (¼ pt)

c. What type of data is the dependent variable? (¼ pt)

d. How many samples test should you use (i.e. one, two, or k)? Describe the samples. (¼ pt)

e. Are the samples related? Justify your answer. (¼ pt)

f. What is the mean weight both before and after the intervention? (¼ pt)

g. Since the data does not have a normal distribution, what would be the most appropriate statistical test to use to determine if there was a difference in the mean weight before and after the intervention? Justify your answer. (½ pt)

h. Using all the information available on the spreadsheet and in the attached tables, what is the best estimate you can make for p? (½ pt)

i. With an alpha level of .05, would you reject the null that there is no difference in the sample means? (½ pt)

j. If a researcher had erroneously assumed that the data was normally distributed, what test would he or she be most likely to use? Justify your answer. (½ pt)

k. What is the value of the observed test statistic? (¼ pt)

l. What is the critical value of the observed test statistic needed to reject the null hypothesis at an alpha level of .05? (¼ pt)

m. Using all the information available on the spreadsheet and in the attached tables, what is the best estimate you can make for p? (½ pt)

n. With an alpha level of .05, would you reject the null that there is no difference in the sample means? (½ pt)

o. Would your answer to Question 3.n. change if the power was .60? Justify your answer. (1 pt)

p. What type of statistical error could you be making if you used the test for parametric data in Question 3.j. instead of the test for nonparametric data from Question 3.g.? Justify your answer. (1 pt)