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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 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.

Does the data suggest that there is a relationship between the gender of students and their choice of major?
Female Male
Accounting 68 56
Administration 91 40
Economics 5 6
Finance 61 59

34 . The distribution for the test is:

  1. Chi 2 8 .
  2. Chi 2 3 .
  3. t 721 .
  4. N ( 0 , 1 ) .

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

Practice final exam 1 solutions

Solutions

1 . b. independent

2 . c. 4 16

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

4 . b. 68 118

5 . d. 30 52

6 . b. 8 40

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

Questions & Answers

how can l calculate G. M from the following size 125 133 141 173 182 frequency 7 5 4 1 3
Stancy Reply
how they find mean population
Joy Reply
parts of statistics
Edwin Reply
what is a mean?
Onele Reply
given the sequence 128,64,32 find the 12th term of the sequence
Shehu Reply
12th number is 0.0625
Thangarajan
why do we use summation notation to represent set of observations
MICHAEL Reply
what is the potential outlier ?
Anik Reply
A pharmaceutical company claims that their pain reliever capsule is 70% effective. But a clinical test on this capsule showed 65 out of 100 effectiveness
jelly Reply
Part of statistics
charls Reply
how to find mean population
Dawit Reply
what is data value
Ravneet Reply
what is relative frequency
Adeyemi Reply
liner regression analysis
Swathy Reply
Proper definition of outlier?
Sumbal Reply
Extraordinary observation (too distant, high, low etc)
Petr Reply

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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