Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
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Author: Mario F. Triola
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Chapter 9.3, Problem 11BSC
a.
To determine
To test: The claim that
b.
To determine
To construct: The 99% confidence interval appropriate for the hypothesis test in part (a).
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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
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1029
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2
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b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
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blank
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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.
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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 9 Solutions
Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.2 - Using Confidence Intervals a. Assume that we want...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 8BSCCh. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...
Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 12BSCCh. 9.2 - Tennis Challenges Since the Hawk-Eye instant...Ch. 9.2 - Police Gunfire In a study of police gunfire...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Marathon Finishers In a recent New York City...Ch. 9.2 - Overlap of Confidence Intervals In the article On...Ch. 9.2 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Determining Sample Size The sample size needed to...Ch. 9.3 - Independent and Dependent Samples Which of the...Ch. 9.3 - Interpreting Confidence Intervals If the heights...Ch. 9.3 - Interpreting Confidence Intervals What does the...Ch. 9.3 - Hypothesis Tests and Confidence Intervals a. In...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 6BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 8BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 10BSCCh. 9.3 - Prob. 11BSCCh. 9.3 - Prob. 12BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 21BSCCh. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Prob. 25BBCh. 9.3 - Pooling. In Exercises 25 and 26, assume that the...Ch. 9.3 - Prob. 27BBCh. 9.3 - Prob. 28BBCh. 9.3 - Prob. 29BBCh. 9.4 - True Statements? For the methods of this section,...Ch. 9.4 - Prob. 2BSCCh. 9.4 - Prob. 3BSCCh. 9.4 - Confidence Intervals If we use the sample data in...Ch. 9.4 - Prob. 5BSCCh. 9.4 - Prob. 6BSCCh. 9.4 - Calculations with Paired Sample Data. In Exercises...Ch. 9.4 - Prob. 8BSCCh. 9.4 - Prob. 9BSCCh. 9.4 - Prob. 10BSCCh. 9.4 - Prob. 11BSCCh. 9.4 - Prob. 12BSCCh. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 516, use the listed paired sample...Ch. 9.4 - Prob. 16BSCCh. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - Prob. 21BSCCh. 9.4 - Prob. 22BSCCh. 9.4 - Prob. 23BSCCh. 9.4 - Prob. 24BSCCh. 9.4 - Prob. 25BBCh. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following survey...Ch. 9 - Listed below are the costs (in dollars) of...Ch. 9 - Prob. 6CQQCh. 9 - Prob. 7CQQCh. 9 - Prob. 8CQQCh. 9 - Prob. 9CQQCh. 9 - Prob. 10CQQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Airbags Save Lives In a study of the effectiveness...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Self-Reported and Measured Female Heights As part...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Prob. 7RECh. 9 - Effect of Blinding Among 13,200 submitted...Ch. 9 - Comparing Means The baseline characteristics of...Ch. 9 - Comparing Variation Use the sample data from...Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 2CRECh. 9 - Prob. 3CRECh. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 5CRECh. 9 - Dark Survey In a survey of 1032 Americans,...Ch. 9 - Backup Generator The USA Today web site posted...Ch. 9 - Juke Survey Late-night talk show host David...Ch. 9 - Normal Distribution Based on the measurements in...Ch. 9 - Prob. 10CRECh. 9 - Prob. 1FDDCh. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Prob. 4FDDCh. 9 - Prob. 5FDDCh. 9 - Prob. 6FDD
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