# 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

you are working for a bank.The bank manager wants to know the mean waiting time for all customers who visit this bank. she has asked you to estimate this mean by taking a sample . Briefly explain how you will conduct this study. assume the data set on waiting times for 10 customers who visit a bank. Then estimate the population mean. choose your own confidence level.
what marriage for 10 years
fit a least square model of y on x ? what is the regression coefficient ? x : 2 3 6 8 9 10 y : 5 6 7 10 8 11
how can we find the expectation of any function of X?
Jennifer
I've been using this app for some time now. I'm taking a stats class in college in spring and I still have no idea what's going on. I'm also 55 yrs old. Is there another app for people like me?
Tamala
Serious
Hamza
yes I am. it's been decades since I've been in school.
Tamala
who are u
zaheer
is there a private chat we can do
Tamala
hello how can I get PDF of solutions introduction mathematical statistics ( fourth education) who can help me
ahssal
can anyone help me
Halim
what is probability
simply probability means possibility.. definition:Probability is a measure of the likelihood of an event to occur.
laraib
fit a least square model of y on x ? what is the regression coefficient ? x : 2 3 6 8 9 10 y : 5 6 7 10 8 11
Nayab
classification of data by attributes is called
qualitative classification
talal
tell me details about measure of Dispersion
Halim
Following data provided Class Frequency less than 10 10-20 5 15 10-30 25 12 40 and above Which measure of central tendency would you compute and why?
a box contains a few red and a few blue balls.one ball is drawn randomly find the probability of getting a red ball if we know that there are 30 red and 40 blue balls in the box
3/7
RICH
Total=30+40=70 P(red balls) =30/70 Therefore the answer is 3/7
Anuforo
define transport statistical unit
describe each transport statistical unit
Dennis
explain uses of each transport statistical unit
Dennis
identify various transport statistical units with their example
Dennis
I didn't understand about Chi- square.
explain the concept of data analysis and data processing
mean=43+37+35+30+41+23+33+31+16/10 =310/10 =31
Anuforo
43+37+35+30+41+23+33+31+16 divided by 10 =310/10 =31
Anuforo
=310/10 =31
Anuforo
In a recent survey of nurses in Region II, it was found out that the average monthly net income of nurses is Php 8,048.25. Suppose a researcher wants to test this figure by taking a random sample of 158 nurses in Region II to determine whether the monthly income has changed. Supposed further that th
what is index number
Suppose from the 1,000 freshmen that took the entrance examination, it was found out that the standard deviation was 10 a. How many students passed the test if the passing score is set 75? b. What scores comprise the middle 95% of all scores?
Hi
HAYATUL
Sweet

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