# 0.2 Practice tests (1-4) and final exams  (Page 33/36)

 Page 33 / 36

The number of people living on American farms has declined steadily during the 20 th century. Here are data on the farm population (in millions of persons) from 1935 to 1980.

Year 1935 1940 1945 1950 1955 1960 1965 1970 1975 1980
Population 32.1 30.5 24.4 23.0 19.1 15.6 12.4 9.7 8.9 7.2

31 . The linear regression equation is $\stackrel{^}{y}$ = 1166.93 – 0.5868 x . What was the expected farm population (in millions of persons) for 1980?

1. 7.2
2. 5.1
3. 6.0
4. 8.0

32 . In linear regression, which is the best possible SSE ?

1. 13.46
2. 18.22
3. 24.05
4. 16.33

33 . In regression analysis, if the correlation coefficient is close to one what can be said about the best fit line?

1. It is a horizontal line. Therefore, we can not use it.
2. There is a strong linear pattern. Therefore, it is most likely a good model to be used.
3. The coefficient correlation is close to the limit. Therefore, it is hard to make a decision.
4. We do not have the equation. Therefore, we cannot say anything about it.

Use the following information to answer the next three exercises: A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. Here are the data from the students who responded.

Female Male
Accounting 68 56
Economics 5 6
Finance 61 59

34 . The distribution for the test is:

1. ${{\mathrm{Chi}}^{2}}_{8}$ .
2. ${{\mathrm{Chi}}^{2}}_{3}$ .
3. ${t}_{721}$ .
4. $N\left(0,1\right)$ .

35 . The expected number of female who choose finance is:

1. 37.
2. 61.
3. 60.
4. 70.

36 . The p -value is 0.0127 and the level of significance is 0.05. The conclusion to the test is:

1. there is insufficient evidence to conclude that the choice of major and the gender of the student are not independent of each other.
2. there is sufficient evidence to conclude that the choice of major and the gender of the student are not independent of each other.
3. there is sufficient evidence to conclude that students find economics very hard.
4. there is in sufficient evidence to conclude that more females prefer administration than males.

37 . An agency reported that the work force nationwide is composed of 10% professional, 10% clerical, 30% skilled, 15% service, and 35% semiskilled laborers. A random sample of 100 San Jose residents indicated 15 professional, 15 clerical, 40 skilled, 10 service, and 20 semiskilled laborers. At α = 0.10 does the work force in San Jose appear to be consistent with the agency report for the nation? Which kind of test is it?

1. Chi 2 goodness of fit
2. Chi 2 test of independence
3. Independent groups proportions
4. Unable to determine

## Solutions

1 . b. independent

2 . c. $\frac{4}{16}\text{}$

3 . b. Two measurements are drawn from the same pair of individuals or objects.

4 . b. $\frac{68}{118}\text{}$

5 . d. $\frac{30}{52}\text{}$

6 . b. $\frac{8}{40}\text{}$

7 . b. 2.78

8 . a. 8.25

9 . c. 0.2870

10 . c. Normal

11 . d. H a : p A p B

12 . b. conclude that the pass rate for Math 1A is different than the pass rate for Math 1B when, in fact, the pass rates are the same.

13 . b. not reject H 0

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