Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 8, Problem 64P
Use the following information o answer the next two exercises: Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing decisions.
64. Identify the following:
a. x= _____
b. n= ____
c. p’=
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For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
blank
c. What is the probability that a…
West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff.
Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.
Excel File: data05-19.xls
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value
Variance
clients per year
squared clients per year
For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. What is the probability that a person…
Chapter 8 Solutions
Introductory Statistics
Ch. 8 - Suppose we have data from a sample. The sample...Ch. 8 - Suppose average pizza delivery times are normally...Ch. 8 - Table 8.2 shows a different random sampling of 20...Ch. 8 - Refer back to the pizza-delivery Try It exercise....Ch. 8 - Refer back to the pizza-deliver Try It exercise....Ch. 8 - Suppose we know that a confidence interval is...Ch. 8 - The population standard deviation for the height...Ch. 8 - You do a study of hypnotherapy to determine how...Ch. 8 - A random sample of statistics students were asked...Ch. 8 - Suppose 250 randomly selected people are surveyed...
Ch. 8 - A student polls his school to see If students In...Ch. 8 - Out of a random sample of 65 freshmen at State...Ch. 8 - The Berkman Center Study referenced in Example...Ch. 8 - Suppose an Internet marketing company wants to...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use (he following information to answer the next...Ch. 8 - Use (he following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - Use the following information to answer the next...Ch. 8 - 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