Just Statistics ((Minitab)) –content- Begin each problem by re-writing the problem. Minitab is required; attach or include your output. Use Word; you may hand write equations. You may want to refer to the Minitab handouts 1 DSCI 346-01 F16: Chapter 10 On-Paper Assignments 40 points Begin each problem by re-writing the problem. Minitab is required; attach or include your output. Use Word; you may handwrite equations. You may want to refer to the Minitab handouts for Chapter 10 (on Canvas under Modules, Chapter 10 Handouts). 1. A cognitive retraining clinic assists outpatient victims of head injury, anoxia, or other conditions that result in cognitive impairment. Each incoming patient is evaluated to establish an appropriate treatment program and estimated length of stay. To see if the evaluation teams are consistent, 12 randomly chosen patients are separately evaluated by two expert teams (A and B) as shown. The data file is named LengthStay. (15 points) Estimated Length of Stay in Weeks Patient Team 1 2 3 4 5 6 7 8 9 10 11 12 A 24 24 52 30 40 30 18 30 18 40 24 12 B 24 20 52 36 36 36 24 36 16 52 24 16 a. At the .10 level of significance, is there a difference between the evaluator teams’ estimated length of stay? State your hypotheses and show all 7 steps clearly. b. Give and interpret the p-value. c. What assumption is required for this test? Use an appropriate graph to check the assumption and state your findings. d. Verify with Minitab, but attaching or including the output. 2 2. Cash withdrawals from a college credit union for a random sample of 30 Fridays and 30 Mondays are shown. At a = .01, is there a difference in the mean withdrawal on Monday and Friday? The data are shown below and may be found in the data filed named ATM. 25 points a. First test to determine if the variances in cash withdrawals differ between Friday and Monday. Show and follow the 7 steps. b. Verify your results in part (a) using Minitab. c. Using the information from your results in part (a), test to determine if the average cash withdrawals differ between Friday and Monday. Follow and show the 7 steps for hypothesis testing. d. Find the p-value and interpret it. e. Verify your results in part (c) using Minitab. Randomly Chosen Cash Withdrawals ($) Friday Monday 250 10 10 40 30 10 20 10 30 100 70 370 110 20 10 20 20 10 40 20 40 30 50 30 70 10 10 200 20 40 20 20 400 20 30 20 10 20 10 10 20 100 50 20 10 30 40 20 100 20 20 50 10 20 20 60 70 60 10 20