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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

Frequency find questions
Rimsha Reply
What is nominal variable
olusola Reply
Write short notes on, nominal variable, ordinal variable, internal variable, ratio variable.
olusola
P( /x-50/ less than or equal to 5 ) where mean =52 and Variance =25
Jay Reply
how I get the mcq
Mukesh Reply
please what is data mining
Josephine Reply
the exploration and analysis of large data to discover meaningful patterns and rules
Hussein
how do we calculate the median
All Reply
f(x)=cx(1-x)^4 as x range 4rm 0<=x<=1. Can someone pls help me find d constant C. By integration only..
Akeem Reply
uses of statistics in Local Government
Saleema Reply
Hi
Tamuno
hello
Saleema
state road transport corporation
Atul
District statistical officer
Atul
statistical services
Atul
Please is this part of the IMT program
Tamuno
testing of drugs
Shambhavi
hii 2
Qamar-ul-
How about population census
Tamuno
Hello every one
Okoi
sample survey is done by local government in each and every field.
syeda
statistics is used in almost every government organisations such as health department, economic department, census, weather forecasting fields
raghavendra
that's true
syeda
statistics is one of the tool that represents the falling and rising of any cases in one sheet either that is in population census whether forecast as well as economic growth
Aadil
statistic is a technique, and statistics is a subject
syeda
what is business statistics
PM Reply
Probability tells you the likelihood of an event happening. ... The higher the probability, the more likely it is to happen. Probability is a number or fraction between 0 and 1. A probability of 1 means something will always happen, and a probability of 0 means something will never happen...
La Reply
Saying it's a number between zero and one means it is a fraction so you could remove "or fraction" from you definition.
Carlos
wouldn't be correct to remove fractions, saying a number is justified as probabilities can also be decimals between 0 and 1.
Denzel
Saying "a number" will include it being a decimal which are themselves fractions in another form.
Carlos
I will simply say a probability is a number in the range zero to one, inclusive.
Carlos
f#$
Carlos
How to delete an entry? This last one was a pocket print.
Carlos
what is probability
sky-D Reply
chance of occurrence
Sikander
what is data
Muhd Reply
raw facts and figures
Sikander
information of any kind
Tahir
What is Statistic
ibrahim Reply
what statistical analysis can i run on growth and yield of spinach.
guillio
format of the frequency distribution table
henry
what is pearson correlation coefficient indicates?
Eticha
Statistic is the mean of the sample.
Raman
can anyone determine the value of c and the covariance and correlation for the joint probability density function Fxy(x,y)=c over the range 0<x<5,0<y,and x-1<y<x-1.
Nuhu
what actually is the definition of range
Chinedu Reply
I need social statistics materials
Chinedu
the range of a set of data is the difference between the largest and smallest values
La
I need more explanation about cluster sampling
Hafsat
write the set of old number that are greater than or equal to minutes 7 butl less than 5 in both of the set notation
Jerry 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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