Business statistics multiple choice

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. 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. Prediction

C. Null Hypothesis Testing

D. Probabilistic Models

2. Assume an experiment using randomized block design has four treatments and nine blocks, for a total of 4 × 9 = 36 observations. Assuming the Total Sum of Squares for the responses is SS(Total) = 500 and α = .05, test the null hypothesis that the treatment means are equal when the Sum of Squares for Treatments (SST) is 40% of SS(Total) and the Sum of Squares for Blocks (SSB) is 40% of SS(Total). A. F = 16.00

B. F = 18.00

C. F = 22.00

D. F = 12.88

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

A. .02

B. .05

C. .01

D. .1

4. In a hypothesis test for the population variance, the alternate hypothesis is the population variance doesn't equal 17.0. The significance level to be used is 0.05 and the sample size to be taken is 25. The table value(s) to use from the chi-square distribution is/are A. 13.181

B. 39.364

C. 12.401 and 39.364.

D. 40.671

5. A random sample of males and females involved in rear-end accidents results in the Minitab summary shown here. What's the standard error of the statistic between the two means? A. 1.789

B. 0.951

C. 2.314

D. 2.388

6. Given the significance level 0.05, the F-value for the degrees of freedom, df = (3,7) is A. 8.89.

B. 4.35.

C. 4.12.

D. 6.16.

7. Hospitals must keep enough antibiotics on hand to treat infectious diseases. Researchers want to determine whether the infectious disease rate is higher in some months than in others. To find out, researchers took a sample of 192 hospital patients in January and found 32 were being treated for an infectious disease. In an independent sample of 403 patients admitted in May, 34 were treated for an infectious disease. Give appoint estimate of the difference in the infectious disease admission rates in January and May. A. .093

B. .079

C. .083

D. .086

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

A. – 1∕2 B. –2

C. 2

D. 1∕2

9. In order to conduct a formal statistical test of the hypothesis this entails numerical measures of the difference between the treatment means and the sampling variability within each of the treatments. The variation between the treatment means is measured by the A. Sum of Squares for Errors (SSE).

B. Sum of Squares for Treatments (SST).

C. Mean Square for Treatments (MST).

D. Mean Square for Error (MSE).

10. Independent random samples of 800 observations each are selected from two binomial populations.

The sample from population 1 produced 320 successes and the sample from population 2 produced 400 successes. Test H0 : (p1 – p2) = 0 against Hα : (p1 – p2) ≠ 0 using α = .01.

A. z = –3.96

B. z = –4.68

C. z = –4.02

D. z = –4.16

11. The F-statistic in a one-way ANOVA represents the variation A. between the treatments plus the variation within the treatments.

B. within the treatments divided by the variation between the treatments.

C. within the treatments minus the variation between the treatments.

D. between the treatments divided by the variation within the treatments.

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

Test Ho : μd = 10 against Ha : μd ≠ 10 where μd = μ1 – μ2 and α = .05.

A. z = 1.29

B. z = 2.03

C. z = 1.32

D. z = 1.79

13. Consider the data values of variables x and y. Find the least squares regression line A. 1.658 + 0.932x

B. 1.663 + 0.492x

C. 3.194 + 0.932x

D. 1.658 + 0.399x

14. In a study designed to test outcomes in a competitive game, researchers fit a simple linear regression relating average payoff (y) to penalty (x) and found SSE = 1.04. Assuming n = 28, what's the estimated standard deviation of the error distribution? A. .25

B. .2

C. .3

D. .4

15. 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. 0.1

B. 0.05

C. 0.90

D. 0.95

16. The object on which the response and factors are observed is called A. treatment.

B. factors.

C. experimental unit.

D. sample.

17. Independent random samples of 64 observations each are chosen from two normal populations with the means and standard deviations shown. Assume that x1 and x2 denote the two sample means. What is the

standard deviation of the sampling distribution x1?

A. .565

B. .5

C. .425

D. .375

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

Find a 90% confidence interval for the mean difference μd = μ1 – μ2 A. –3.5 ± 1.368

B. –3.9 ± 1.209

C. –3.3 ± 1.920

D. –3.5 ± 1.223

19. In using the ANOVA models, the assumptions made about the data are A. the population distributions are normal.

B. the population variances are equal.

C. all 3 assumptions made here about the data.

D. the samples are independent.

End of exam

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

B. 1∕2 C. –1

D. 0