Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 13, Problem 10E
Character recognition, again The automatic character recognition device discussed in Exercise 4 successfully reads about 85% of handwritten credit card applications. In Exercise 4, you looked at the histograms showing distributions of sample proportions from 1000 simulated samples of size 20, 50, 75, and 100. The sample statistics and theoretical values for each simulation are as follows:
- a) Looking at the histograms in Exercise 4, at what
sample size would you be comfortable using the Normal model as an approximation for the sampling distribution? - b) What does the Success/Failure Condition say about the choice you made 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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(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.
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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
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 13.2 - You want to poll a random sample of 100 students...Ch. 13.2 - Prob. 2JCCh. 13.2 - If you think that about half the students are in...Ch. 13.3 - A Pew Research study regarding cell phones asked...Ch. 13.3 - Prob. 5JCCh. 13.3 - A Pew Research study regarding cell phones asked...Ch. 13.3 - Prob. 7JCCh. 13.3 - Prob. 8JCCh. 13.5 - Prob. 9JCCh. 13.5 - Prob. 10JC
Ch. 13.5 - Prob. 11JCCh. 13 - Website An investment company is planning to...Ch. 13 - Marketing The proportion of adult women in the...Ch. 13 - Prob. 3ECh. 13 - Character recognition An automatic character...Ch. 13 - Prob. 5ECh. 13 - Hows life? Gallup regularly conducts a poll using...Ch. 13 - Prob. 7ECh. 13 - Prob. 8ECh. 13 - Send more money The philanthropic organization in...Ch. 13 - Character recognition, again The automatic...Ch. 13 - Prob. 11ECh. 13 - Prob. 12ECh. 13 - Prob. 13ECh. 13 - Spanking In a 2015 Pew Research study on trends in...Ch. 13 - Prob. 15ECh. 13 - Smoking The Gallup poll described in Exercise 6...Ch. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Graduation Its believed that as many as 25% of...Ch. 13 - Hiring In preparing a report on the economy, we...Ch. 13 - Margin of error A TV newscaster reports the...Ch. 13 - Another margin of error A medical researcher...Ch. 13 - Conditions For each situation described below,...Ch. 13 - More conditions Consider each situation described....Ch. 13 - Conclusions A catalog sales company promises to...Ch. 13 - More conclusions In January 2002, two students...Ch. 13 - Confidence intervals Several factors are involved...Ch. 13 - Confidence intervals, again Several factors are...Ch. 13 - Cars What fraction of cars made in Japan? The...Ch. 13 - Prob. 30ECh. 13 - Mislabeled seafood In 2013 the environmental group...Ch. 13 - Mislabeled seafood, second course A Consumer...Ch. 13 - Prob. 33ECh. 13 - Prob. 34ECh. 13 - Prob. 35ECh. 13 - Take the offer First USA, a major credit card...Ch. 13 - Teenage drivers An insurance company checks police...Ch. 13 - Junk mail Direct mail advertisers send...Ch. 13 - Prob. 39ECh. 13 - Prob. 40ECh. 13 - Prob. 41ECh. 13 - Gambling A city ballot includes a local initiative...Ch. 13 - Rickets Vitamin D, whether ingested as a dietary...Ch. 13 - Teachers A 2011 Gallup poll found that 76% of...Ch. 13 - Prob. 45ECh. 13 - Back to campus ACT, Inc. reported that 74% of 1644...Ch. 13 - Deer ticks Wildlife biologists inspect 153 deer...Ch. 13 - Prob. 48ECh. 13 - Graduation, again As in Exercise 19, we hope to...Ch. 13 - Better hiring info Editors of the business report...Ch. 13 - Prob. 51ECh. 13 - Another pilot study During routine screening, a...Ch. 13 - Prob. 53ECh. 13 - Amendment A TV news reporter says that a proposed...
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