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F1 - King Fahd University of Petroleum and Minerals

STAT 212 Business Statistics II 12 6. A contingency table test with 4 rows **and** 30 degrees **of** freedom implies that the table must have how many columns? a. 8 b. 9 c. 10 d. 11 e. 12 7. When the necessary conditions are met, a two-tailed test is being conducted to test the difference between two population means, but MINITAB provides only a one-tail area **of** .036. The correct p-value for this test will be which **of** the following? a. 0.018 b. 0.009 c. 0.036 d. 0.072 e. 0.964 ANSWER: d 8. To test a claim against the alternative that the actual proportion **of** doctors who recommend aspirin is less than 0.90, a r**and**om sample **of** 100 doctors’ results in 83 who indicate that they recommend aspirin. The test statistic in this problem is approximately equal to which value below? a. – 1.67 b. – 2.33 c. – 1.86 d. 1.85 e. 2.33 ANSWER: b 9. Given the regression model ŷ = 0.34+10.56 x, where x = sales **and** y = pr**of**it, which **of** the following gives the correct interpretation **of** the regression slope? a. A 1–unit increase in pr**of**it results in a 0.34 unit increase in sales b. A 1–unit increase in sales results in a 10.90 unit increase in pr**of**its c. When sales increases 2 units, pr**of**it increases by 21.12 units d. When sales decreases 1 unit, pr**of**it increases by 10.56 units e. A 1–unit increase in pr**of**it results in a 10.56 unit increase in sales 10. You are given the regression model, pr**of**it = 0.35 + 11.54cost, with SSE=1032.5 obtained through a least square method. For the other models below, which **of** the following may be correct? a. pr**of**it = 0.35 + 11.50cost can have SSE < 1032.5 b. pr**of**it = 0.30 + 11.54cost can have SSE = 1132.6 c. pr**of**it = 12cost + 0.35 can have SSE = 1007.1 d. pr**of**it = 0.35 + 11.89cost can have SSE = 1044.04 e. All other models must have SSE ≥ 1032.5

STAT 212 Business Statistics II 13 11. In testing H : µ 1 − µ 2 = 5 vs. H a : µ 1 − µ 2 > 5, the test statistic value z is found to be 1.69. What is the p – value **of** the test? a. -0.0910 b. 0.0455 c. 0.0910 d. 0.1977 e. 0.3023 12. For a linear regression model pr**of**it = 0.35 - 0.95cost where all data points are on this regression line, which **of** the following is true? a. r xy = - 1 b. r xy = - 0.95 c. b 1 = 0.95 d. r xy = 1 e. b 0 = - 0.35 2 2 13. In testing H o : σ = 5 vs. H a : σ > 5, which **of** the following is NOT true? a. The test statistics is chi-square with n-2 degrees **of** freedom b. The underlying variable must be normal c. The true variance is not known d. The sample variance is known e. The true variance must be greater than or equal to 0 14. In contingency table analyses, which **of** the following is true? a. The variables must be continuous b. The degree **of** freedom is rc – r – c + 1 c. The variables must be normally distributed d. The attributes in the row **and** column are independent e. Attributes in the rows are not mutually exclusive 15. Which **of** the following may be a correct example **of** a simple linear regression model? a. pr**of**it = 0.55(1+1.3Cost) b. pr**of**it = 0.80 - 0.95Cost + error c. pr**of**it = 0.80 + 0.65Revenue - 0.85Cost + 0.25Revenue*Cost d. pr**of**it = 0.80 + 0.45Revenue + 0.20 Revenue 2 + error e. pr**of**it = 0.80 + 0.46Revenue - 0.85Cost + error

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