Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 13, Problem 10RP
a.
To determine
The value of
b.
To determine
The value of
c.
To determine
The value of the chi-square that has area 0.05 to its right.
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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
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Number
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1
1029
2
1686
3
2269
4
2675
5
3487
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4652
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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 13 Solutions
Introductory Statistics (10th Edition)
Ch. 13.1 - What is meant by saying that a variable has a...Ch. 13.1 - How do you identify different chi-square...Ch. 13.1 - Prob. 3ECh. 13.1 - The t-table has entries for areas of 0.10, 0.05,...Ch. 13.1 - Prob. 5ECh. 13.1 - In Exercises 13.5-13.8, use Table VII to find the...Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.2 - Why is the phrase goodness of fit used to describe...Ch. 13.2 - Prob. 10E
Ch. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - In each of Exercises 13.1813.23, we have provided...Ch. 13.2 - In each of Exercises 13.1813.23, we have provided...Ch. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - In each of Exercises 13.18-13.23, we have provided...Ch. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - In each of Exercises 13.24-13.3, apply the...Ch. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 27ECh. 13.2 - In Each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 29ECh. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 31ECh. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - The chi-square goodness-of-fit test provides a...Ch. 13.3 - Identify the type of table that is used to group...Ch. 13.3 - What are the small boxes inside the heavy lines of...Ch. 13.3 - Suppose that bivariate data are to be grouped into...Ch. 13.3 - Identify three ways in which the total number of...Ch. 13.3 - Presidential Election. According to Dave Leip's...Ch. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - AIDS Cases. According to the Centers for Disease...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Farms. The U.S. Department of Agriculture...Ch. 13.3 - Prob. 52ECh. 13.3 - AIDS Cases. Refer to Exercise 13.47. For AIDS case...Ch. 13.3 - Prob. 54ECh. 13.3 - Prob. 55ECh. 13.3 - Prob. 56ECh. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In the exercise, you are to consider two variables...Ch. 13.3 - Prob. 61ECh. 13.4 - To decide whether two variables of a population...Ch. 13.4 - Prob. 63ECh. 13.4 - Prob. 64ECh. 13.4 - Prob. 65ECh. 13.4 - Prob. 66ECh. 13.4 - Education and Salary. Studies have shown that a...Ch. 13.4 - Identify three techniques that can he tried as a...Ch. 13.4 - Prob. 69ECh. 13.4 - Prob. 70ECh. 13.4 - In each of Exercises 13.69-13.74, we have given...Ch. 13.4 - Prob. 72ECh. 13.4 - In each of Exercises 13.69-13.74, we have given...Ch. 13.4 - Prob. 74ECh. 13.4 - Prob. 75ECh. 13.4 - Prob. 76ECh. 13.4 - Prob. 77ECh. 13.4 - Prob. 78ECh. 13.4 - In Exercises13.79-13.86, use either the...Ch. 13.4 - In Exercises 13.79-13.86, use either the...Ch. 13.4 - Prob. 81ECh. 13.4 - In Exercises 13.7913.86, use either she critical...Ch. 13.4 - In Exercises 13.7913.86, use either she...Ch. 13.4 - Prob. 84ECh. 13.4 - Prob. 85ECh. 13.4 - Prob. 86ECh. 13.4 - Prob. 87ECh. 13.4 - In Exercises 13.7913.86, use either the...Ch. 13.4 - Prob. 89ECh. 13.4 - Prob. 90ECh. 13.4 - Prob. 91ECh. 13.4 - Prob. 92ECh. 13.5 - Prob. 93ECh. 13.5 - For what purpose is a chi-square homogeneity test...Ch. 13.5 - Prob. 95ECh. 13.5 - State the null and alternative hypotheses for a...Ch. 13.5 - Prob. 97ECh. 13.5 - Prob. 98ECh. 13.5 - Prob. 99ECh. 13.5 - A chi-square homogeneity test is to be conducted...Ch. 13.5 - Prob. 101ECh. 13.5 - In Exercises 13.101-13.106, use either the...Ch. 13.5 - In Exercises 13.101-13.106, use either the...Ch. 13.5 - Prob. 104ECh. 13.5 - Prob. 105ECh. 13.5 - Prob. 106ECh. 13.5 - In each of Exercises 13.107 and 13.108 a. use the...Ch. 13.5 - In each of Exercises 13.107 and 13.108, a. use the...Ch. 13 - How do you distinguish among the infinitely many...Ch. 13 - Prob. 2RPCh. 13 - Prob. 3RPCh. 13 - Explain why a chi-square goodness-of-fit test, a...Ch. 13 - Prob. 5RPCh. 13 - Rending the expected-frequency assumptions for a...Ch. 13 - Prob. 7RPCh. 13 - Suppose that you have bivariate data for an entire...Ch. 13 - Suppose that you have bivariate data for a sample...Ch. 13 - Prob. 10RPCh. 13 - Prob. 11RPCh. 13 - Prob. 12RPCh. 13 - Prob. 13RPCh. 13 - Presidents. Refer to Problem 12. a. Find the...Ch. 13 - Prob. 15RPCh. 13 - Prob. 16RPCh. 13 - Prob. 17RPCh. 13 - Prob. 18RPCh. 13 - Prob. 19RPCh. 13 - Income and Residence. The U.S. Census Bureau...Ch. 13 - Economy in Recession? The Quinnipiac University...Ch. 13 - Prob. 22RPCh. 13 - With holding Treatment. Several years ago. a poll...Ch. 13 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 13 - At the beginning of this chapter, we presented a...
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