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Student ID: 22144192

Exam: 350365RR - Inferences and Linear Regression

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Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer.

1. Find the slope of the line that passes through the points (1,1) and (5,5) A. 1

B. 1∕2 C. 0

D. –1

2. A balanced experiment requires that A. the number of treatments equals the number of samples.

B. at least one sample equal size is 30.

C. at least two treatment groups be used.

D. an equal number of persons or test units receives each treatment.

3. Using α = .01, find the values of z for which H0 : (p1 – p2) = 0 would be rejected in favor of the alternative Hα : (p1 – p2) < 0.

A. z < – 1.96

B. z < – 2.09

C. z < – 2.33

D. z < – 2.49

4. A random sample of males and females involved in rear-end accidents results in the Minitab summary shown here. What's the value of the test statistic (Z score)? A. –2.32

B. –2.14

C. 2.32

D. 2.14

5. Assuming n1 = n2, p1 ≈ .4, p2 ≈ .7, sampling error = .01, and a confidence interval of 99%, estimate (p1 – p2).

A. 29,954

B. 29,392

C. 28,369

D. 24,696

6. In testing a population variance or constructing a confidence interval for the population variance, an essential assumption is that A. the population is normally distributed.

B. the expected frequencies equal or exceed 5

C. the population is uniformly distributed

D. the sample size is at least 100.

7. A "best-fit" mathematical equation for the values of two variables, x and y, is called A. scatter diagram.

B. errors of prediction.

C. regression analysis.

D. correlation analysis.

8. Given v1 = 2 and v2 = 30, find P(F ≥ 5.39).

A. .09

B. .06

C. .03

D. .01

9. Given v1 = v2 =15, find P(F > 2.40).

A. .02

B. .05

C. .1

D. .01

10. Independent random samples of n1 = 233 and n2 = 312 are selected from two populations and used to

test the hypothesis H0 : (μ1 – μ2) = 0 against the alternative H : (μ1 – μ2) < 0. What's the p-value?

A. .0625

B. .0643

C. .0599

D. .0575

11. An experiment was conducted using a randomized block design. The data from the experiment is shown in the table

If you wanted to find out whether a difference exists among the treatments, what test statistic should you use? A. F = 2.96

B. F = 5.54

C. F = 6.99

D. F = 4.09

12. In a completely randomized design with k treatments with all pairwise comparisons of treatments to be made using a multiple comparisons procedure, determine the total number of pairwise comparisons for k = 10 A. 50

B. 45

C. 10

D. 100

13. The line for which the Sum of Errors (SSE) is at a minimum is called a regression line, and it's obtained using the method of _______. A. Least Squares

B. Probabilistic Models

C. Prediction

D. Null Hypothesis Testing

14. In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of A. 0.95

B. 0.05

C. 0.90

D. 0.1

15. The following table shows x and y values for finding a least squares regression line:

Find the formula for the least squares line that fits this data.

A.

B.

C.

D.

16. Construct a 95% confidence interval for

A. 31 ± .92

B. 62 ± 1.36

C. 36 ± 1.84

D. 31 ± 1.13

17. In a paired difference experiment, you get the following results:

Determine the values of z for which the null hypothesis µ1 - µ2 = 0 would be rejected in favor of the alternative hypothesis μ1 – μ2 < 0. Use α = .10.

A. z < – 1.852

B. z < – 1.06

C. z < – 1.96

D. z < – 1.282

18. The object on which the response and factors are observed is called A. experimental unit.

B. factors.

C. treatment.

D. sample.

19. Which of the following statements are true regarding the simple linear regression model

End of exam

A. yi is a value of the dependent variable (y) and xi is a value of the independent variable (x).

B. Β0 is the slope of the regression line.

C. Β1 is the y-intercept of the regression line.

D. εi is a nonrandom error.

20. What's the slope of the line that passes through the points (–5, –8) and (3, 8)? A. –2

B. 2

C. – 1∕2

D. 1∕2