APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 17, Problem 41CE
Make a fishbone chart (cause-and-effect diagram) like the following for the reasons you have ever been (or could be) late to class. Use as many branches as necessary. Which factors are most important? Which are most easily controlled?
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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 17 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 17.1 - Define (a) productivity, (b) quality control, and...Ch. 17.1 - Explain the relationship between productivity and...Ch. 17.1 - Explain the difference between common cause...Ch. 17.1 - Prob. 4SECh. 17.1 - Explain the role of statisticians in quality...Ch. 17.2 - Prob. 6SECh. 17.2 - Prob. 7SECh. 17.3 - Prob. 8SECh. 17.3 - Prob. 9SECh. 17.3 - Identify three common quality improvement programs...
Ch. 17.3 - Why is the quality improvement process...Ch. 17.3 - Prob. 12SECh. 17.3 - Prob. 13SECh. 17.4 - Prob. 14SECh. 17.4 - Prob. 15SECh. 17.5 - (a) To construct control limits for an x chart,...Ch. 17.5 - Prob. 17SECh. 17.5 - List four rules for detecting abnormal (special...Ch. 17.5 - Set up control limits for an x chart, given x =...Ch. 17.5 - Prob. 20SECh. 17.5 - Prob. 21SECh. 17.5 - To print 8.5 5.5 note pads, a copy shop uses...Ch. 17.6 - Prob. 23SECh. 17.6 - Prob. 24SECh. 17.7 - Prob. 25SECh. 17.7 - Prob. 26SECh. 17.7 - Prob. 27SECh. 17.7 - Prob. 28SECh. 17.9 - Prob. 29SECh. 17.9 - Prob. 30SECh. 17.9 - Prob. 31SECh. 17 - Define (a) quality, (b) process, and (c)...Ch. 17 - Prob. 2CRCh. 17 - Prob. 3CRCh. 17 - Prob. 4CRCh. 17 - Prob. 5CRCh. 17 - Prob. 6CRCh. 17 - (a) Who was W. Edwards Deming and why is he...Ch. 17 - List three influential thinkers other than Deming...Ch. 17 - (a) Briefly explain each acronym: TQM, BPR, SQC,...Ch. 17 - (a) What is shown on the x chart? (b) Name three...Ch. 17 - Prob. 11CRCh. 17 - Prob. 12CRCh. 17 - Prob. 13CRCh. 17 - Prob. 14CRCh. 17 - Prob. 15CRCh. 17 - Briefly explain (a) the overadjustment problem,...Ch. 17 - Prob. 32CECh. 17 - Prob. 33CECh. 17 - Prob. 34CECh. 17 - Define three quality metrics that might be used to...Ch. 17 - Prob. 36CECh. 17 - Prob. 37CECh. 17 - Prob. 38CECh. 17 - Prob. 39CECh. 17 - Use your favorite Internet search engine to look...Ch. 17 - Make a fishbone chart (cause-and-effect diagram)...Ch. 17 - Make a fishbone chart (cause-and-effect diagram)...Ch. 17 - Make a fishbone chart (cause-and-effect diagram)...Ch. 17 - Prob. 44CECh. 17 - In painting an automobile, the thickness of the...Ch. 17 - Prob. 46CECh. 17 - Prob. 47CECh. 17 - Prob. 48CECh. 17 - In painting an automobile at the factory, the...Ch. 17 - Prob. 50CECh. 17 - Prob. 51CECh. 17 - Prob. 52CECh. 17 - Prob. 53CECh. 17 - A Nabisco Fig Newton has a process mean weight of...Ch. 17 - A new type of smoke detector battery is developed....Ch. 17 - Prob. 56CECh. 17 - Prob. 57CECh. 17 - Prob. 58CECh. 17 - Each gum drop in two bags of Sathers Gum Drops was...Ch. 17 - Prob. 60CECh. 17 - Prob. 61CECh. 17 - Prob. 62CECh. 17 - Prob. 63CECh. 17 - Refer to the bolt strength problem 17.47. Assuming...Ch. 17 - Refer to the paint problem 17.49 with =1.00 and ...
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- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forward
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