7. A quality control inspector keeps a tally sheet of the number of acceptable a

Question

7. A quality control inspector keeps a tally sheet of the number of acceptable and unacceptable products that come off two different production lines. The completed sheet is shown below. Producis line Acceptable Unacceptable 1 2 152 136 48 54 Can the inspector infer at the 5% significance level that production line 1 is doing a better job than production line 27 Which of the following is CORRECT a. Test statistic: z = 1.645 b. P-value- 0.075 C. Yes, the inspector can infer at the 5% significance level that production line 1 is doing a better job than production line 2. No, the inspector cannot infer at the 5% significance level that production line 1 is doing a better job than production line 2. d. 8. Which of the following statements is false? a. The sum of squares for treatments (SST) explains some of the variation. b. The sum of squares for error (SSE) measures the amount of variation that is unexplained c. The total sum of squares SS(Total) SST+SSE d· The total sum of squares SS(Total) measures the amount of variation within the samples 9. Which of the following is not true when we did an independent variable to a multiple regression model? a. Adjusted coefficient of determination, adj R3, can assume a negative value b. Coefficient of determination, R. always increases c. Coefficient of determination, R, may increase or decrease d. Adjusted coefficient of determination, adjR', may decrease

Explanation / Answer

(7) right choice d. No, the inspector ...............line 2

p=proportion of acceptable

var(p1)=p1(1-p1)/n=0.76*(1-0.76)/200=0.000912

var(p2)=0.001071

SE(p1-p2)=sqrt(var(p1)+var(p2))=sqrt(0.000912+0.001071)=0.0445

z=(p1-p2)/SE(p1-p2)=(0.76-0.7158)/0.0445=0.9933

p-value=0.1603 ( using ms-excel=1-normsdist(0.9933))

since alpha=0.05 is less than p-value so we fail to accept H0 and conclude that both the production line1 are same

(8)right choice is d,

(9) right choice is c,

when we add the independent variable the coefficient of determination R2 always inrease

production line acceptable unacceptable total p variance 1 152 48 200 0.76 0.000912 2 136 54 190 0.715789 0.001071

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