Problem #1 Three different diet plans are to be tested for mean weight loss. The table shows the weight losses for the different plans. The numbers in the table represent the number of pounds lost per participant for each of the three diet plans. A researcher would like to know if the mean weight loss for the three plans are the same. Assume that all criteria for ANOVA hypothesis test is met. Diet Plan Participant A Participant B Participant C Participant D Plan A 5 45 Plan B 3.5 4.5 Plan C 8 4 3.5 a) State the Null and Alternative Hypothesis b) Determine the degree of freedom and find the critical value Problem #2 A health insurance company would like to compare the average length of a hospital stay for patients at three different hospitals to determine if the average hospital stay is the same for the hospitals. The average number of days a patient stays at the hospital are as follows: Mercy Hospital - 4, 7, 11, 8, 12 Doctors Medical - 3,9, 7,4, 10 Sutter Health - 9, 6,8,7 a) State the Null and Alternative Hypothesis b) Determine the degree of freedom and find the critical value