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 handouts1DSCI 346-01 F16: Chapter 10 On-Paper Assignments40 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 Canvasunder Modules, Chapter 10 Handouts)

1. A cognitive retraining clinic assists outpatient victims of head injury, anoxia, or other conditions thatresult in cognitive impairment. Each incoming patient is evaluated to establish an appropriatetreatment program and estimated length of stay. To see if the evaluation teams are consistent, 12randomly chosen patients are separately evaluated by two expert teams (A and B) as shown. The datafile is named LengthStay. (15 points)

Estimated Length of Stay in WeeksPatientTeam 1 2 3 4 5 6 7 8 9 10 11 12A 24 24 52 30 40 30 18 30 18 40 24 12B 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 lengthof 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 andstate your findings.d. Verify with Minitab, but attaching or including the output.22. Cash withdrawals from a college credit union for a random sample of 30 Fridays and 30 Mondays areshown.

At a = .01, is there a difference in the mean withdrawal on Monday and Friday? The data areshown below and may be found in the data filed named ATM. 25 pointsa. 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 cashwithdrawals differ between Friday and Monday. Follow and show the 7 steps for hypothesistesting.d. Find the p-value and interpret it.e. Verify your results in part (c) using Minitab.Randomly Chosen Cash Withdrawals ($)Friday Monday250 10 10 40 30 1020 10 30 100 70 370110 20 10 20 20 1040 20 40 30 50 3070 10 10 200 20 4020 20 400 20 30 2010 20 10 10 20 10050 20 10 30 40 20100 20 20 50 10 2020 60 70 60 10 20