Statistics Calculations

PART 5: CALCULATION (17 POINTS) Solve the research problem below using hypothesis testing. To receive full credit, you must show all work including formulas and computations). A pet store is considering promoting one of two new weight-loss products for dogs: Beast Feast or Athletic-Quick. But the storeowner only wants to promote the one he thinks is actually the better product. To test the effectiveness of the products, he hires a researcher. The researcher obtains a sample of 50 dogs and matches pairs of dogs with similar weight to create 25 pairs. She randomly assigns one dog from each pair to eat Beast Feast and the other to eat Athletic-Quick. They eat the appropriate food for 4 weeks, and at the end of the 4-week period, each dog is weighed. The Beast Feast dogs have a mean of 64.4 pounds with a standard deviation of 15.3 pounds. The Athletic-Quick dogs have a mean of 62.6 pounds and a standard deviation of 14.6 pounds. The researcher calculates the mean of the difference scores to be 1.8 pounds and the standard deviation of the difference scores to be 3. Conduct the appropriate test to determine which food is better with an alpha (a) level of .05. Independent Variable: Name the Levels: Within or Between Subjects? What type of test will you use? Null Hypothesis (in symbols): Alternative Hypothesis (in symbols): Formula(s) and calculations (you will lose points if you do not include formulas and your work): Test value = df (if relevant) = Critical values = Effect size: d = REJECT DO NOT REJECT Decision about the Null Hypothesis (circle one): Which of the products should the Pet store promote? Why