The max grade for this lab is 110 but the scale is still 100 points. The 10 points are extra credit. The following video might be helpful: Confidence interval Note: numbers are truncated. There is no need to use any data to perform actual test. The actual P-value is given to you. Set-up: The manufacturer introduced a new version of a machine and it was sued for not disclosing the additional maintenance cost. The average annual maintenance cost for the older model was $1170. Given the data for the recent machines, decide if the law suit holds water. (Need to manually input the data into Excel). What test/procedure should be run? (Click for answer) What is the margin of error? (Click for answer) What is the Statistical interpretation? (Click for answer) What is the conclusion? (Click for answer) 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 In what follows use any of the following tests: Regression, Multiple Regression, one- sided t-test, or two- sided t-test. All conclusions should be based on a 5% P-value threshold. Choose the best fitting answer. Open MathCreditsSalary data. SETUP: It is believed that the more Math credits that students take during their college years, the higher their salary will be. Given the data your job is to confirm or disprove this assertion. 1. What test did you perform? a. One-sided t-test b. Two-sided t-test c. Regression d. Confidence interval 2. What is the P-value/margin of error? a. 1.84409E-24 b. 9.22043E-25 c. 0.001661 d. 3.267165 e. None of these 3. What is the Statistical interpretation? a. Since the P-value is very small, we are confident that the average of the first sample is smaller than the other. b. Since the P-value is very small, we are very confident that the averages are different. c. Since the P-value is very small, we are confident that the slope of regression line is not zero. d. We are 95% certain that the confidence interval is [39.98, 46.52]. 4. What is the conclusion? a. Yes, I am confident that the above assertion is correct. b. No, we cannot claim that the above assertion is correct. Tutorial 1In what follows use any of the following tests: Regression, Multiple Regression, one- sided t-test, or twosided t-test. All conclusions should be based on a 5% P-value threshold. Choose the best fitting answer. Use the same MathCreditsSalary data. SETUP: Is it 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 reasonable to claim that people who took more than 10 math credits will have average salary of 41000 or more? 5. What test did you perform? a. One-sided t-test b. Two-sided t-test c. Regression d. Confidence interval 6. What is the P-value/margin of error? a. 2.30791 b. 0.00166 c. 4.72877 d. 5.21228 e. None of these 7. What is the Statistical interpretation? a. Since the P-value is too large, the above claim is not reasonable. b. Since the P-value is small enough, the above claim is reasonable. c. We are 95% certain that the confidence interval is [39.98, 46.52]. d. None of these. 8. What is the conclusion? a. Yes, I am confident that the above claim is correct. b. No, we cannot claim that the above claim is correct. Task 1 In what follows use any of the following tests: Regression, Multiple Regression, one- sided t-test, or two- sided t-test. All conclusions should be based on a 5% P-value threshold. Choose the best fitting answer. Open the PreLaw_Nursing data. SETUP: The data contain the salaries for 25 people whose college majors were either Pre-law or Nursing. Question: Do these two majors have different salaries? 9. What test did you perform? a. One-sided t-test b. Two-sided t-test c. Regression d. Confidence interval 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 10. What is the P-value/margin of error? a. 0.000629 b. 1.889037 c. 1.500706 d. 0.528567 e. None of these 11. What is the Statistical interpretation? a. The 95% confidence interval is [35.95, 39.72]. b. The 95% confidence interval is [40.85, 43.86]. c. Since the P-value is too large, we cannot claim that there is connection between two variables (pre-law and nursing). d. Since the P-value is small, we can claim that there is connection between two variables (pre-law and nursing). e. None of these. 12. What is the conclusion? a. Yes, I am confident that the salaries are different. b. No, I cannot claim that the salaries are different. Task 2 In what follows use any of the following tests: Regression, Multiple Regression, one- sided t-test, or two- sided t-test. All conclusions should be based on a 5% P-value threshold. Choose the best fitting answer. Use the Weight_vs_IQ data. SETUP: Common sense dictates that a person's IQ and Weight should not be related. However, one never knows until one examines the data. Given the data (IQ and weight for 29 students) your job is to check if the common sense assumption is reasonable or maybe it is not. 13. What test did you perform? a. One-sided t-test b. Two-sided t-test c. Regression d. Confidence interval 14. What is the P-value/margin of error? a. 0.749971 b. 8.2E-06 c. 0.711936 d. 0.355968 4 4 4 4 4 4 15. What is the Statistical interpretation? a. Since the P-value is very small, we can confirm the common sense assumption that IQ and Weight are not related. b. Since the P-value is large, we cannot claim that averages are different. c. Since the P-value is large, we cannot claim that IQ and Weight are related. d. None of these. 16. What is the conclusion? a. I have no statistical evidence to claim that IQ and Weight are related. b. I am confident that IQ and Weight are related. c. I am confident that IQ and Weight are not related. MathCredits Salary000 7\t42 0\t31 7\t34 9\t37 8\t59 6\t44 14\t54 8\t56 14\t52 19\t43 26\t54 15\t40 24\t53 4\t36 1\t24 14\t49 0\t33 4\t48 18\t29 11\t40 5\t45 0\t40 12\t58 0\t31 0\t42 18\t56 13\t37 7\t32 6\t30 3\t53 5\t39 1\t44 0\t36 17\t55 20\t58 PreLaw\tNursing 46\t38 33\t42 33\t42 41\t41 31\t42 41\t43 41\t43 34\t51 44\t41 40\t37 39\t45 32\t43 29\t39 36\t44 43\t41 31\t46 34\t35 39\t47 42\t48 34\t47 39\t38 42\t38 38\t39 45\t44 39\t45 Weight\tIQ 88\t99 112\t103 107\t97 112\t99 80\t100 86\t90 103\t118 121\t79 116\t80 82\t88 65\t82 107\t103 100\t116 91\t112 110\t92 113\t115 105\t100 108\t94 90\t118 73\t106 102\t126 99\t95 80\t119 114\t116 90\t79 95\t92 106\t78 86\t111 106\t80