Statistics for Business & Economics
16th Edition
ISBN: 9781337325448
Author: Anderson
Publisher: CENGAGE C
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Chapter 8.1, Problem 5E
Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the file named Houston. Based upon past studies the population standard deviation is known with σ = $6.
- a. At 99% confidence, what is the margin of error?
- b. Develop a 99% confidence
interval estimate of themean amount spent for lunch.
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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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Months
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1
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2675
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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.
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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
Chapter 8 Solutions
Statistics for Business & Economics
Ch. 8.1 - A simple random sample of 40 items resulted in a...Ch. 8.1 - A simple random sample of 50 items from a...Ch. 8.1 - A simple random sample of 60 items resulted in a...Ch. 8.1 - A 95% confidence interval for a population mean...Ch. 8.1 - Data were collected on the amount spent by 64...Ch. 8.1 - In an attempt to assess total daily travel taxes...Ch. 8.1 - The average annual cost of the first year of...Ch. 8.1 - Studies show that massage therapy has a variety of...Ch. 8.1 - The mean cost to repair the smoke and fire damage...Ch. 8.1 - Costs are rising for all kinds of medical care....
Ch. 8.2 - For a t distribution with 16 degrees of freedom,...Ch. 8.2 - Find the t value(s) for each of the following...Ch. 8.2 - The following sample data are from a normal...Ch. 8.2 - A simple random sample with n = 54 provided a...Ch. 8.2 - Sales personnel for Skillings Distributors submit...Ch. 8.2 - A sample containing years to maturity and yield...Ch. 8.2 - The International Air Transport Association...Ch. 8.2 - Older people often have a hard time finding work....Ch. 8.2 - The mean cost of a meal for two in a mid-range...Ch. 8.2 - The average annual premium for automobile...Ch. 8.2 - Health insurers are beginning to offer...Ch. 8.2 - Marvel Studios motion picture Guardians of the...Ch. 8.3 - How large a sample should be selected to provide a...Ch. 8.3 - The range for a set of data is estimated to be 36....Ch. 8.3 - Refer to the Scheer Industries example in Section...Ch. 8.3 - The U.S. Energy Information Administration (US...Ch. 8.3 - Annual starting salaries for college graduates...Ch. 8.3 - Many medical professionals believe that eating too...Ch. 8.3 - Customers arrive at a movie theater at the...Ch. 8.3 - There has been a trend toward less driving in the...Ch. 8.4 - A simple random sample of 400 individuals provides...Ch. 8.4 - A simple random sample of 800 elements generates a...Ch. 8.4 - In a survey, the planning value for the population...Ch. 8.4 - At 95% confidence, how large a sample should be...Ch. 8.4 - The Consumer Reports National Research Center...Ch. 8.4 - According to statistics reported on CNBC, a...Ch. 8.4 - One of the questions on a survey of 1000 adults...Ch. 8.4 - According to Franchise business review, over 50%...Ch. 8.4 - In 16% of all homes with a stay-at-home parent,...Ch. 8.4 - For many years businesses have struggled with the...Ch. 8.4 - Fewer young people are driving. In 1983, 87% of...Ch. 8.4 - A poll for the presidential campaign sampled 491...Ch. 8.4 - The Pew Research Center Internet Project,...Ch. 8 - A sample survey of 54 discount brokers showed that...Ch. 8 - A survey conducted by the American Automobile...Ch. 8 - The 92 million Americans of age 50 and over...Ch. 8 - Russia has recently started a push for stronger...Ch. 8 - The Health Care Cost Institute tracks health care...Ch. 8 - A recent article reported that there are...Ch. 8 - Mileage tests are conducted for a particular model...Ch. 8 - In developing patient appointment schedules, a...Ch. 8 - Annual salary plus bonus data for chief executive...Ch. 8 - The National Center for Education Statistics...Ch. 8 - A USA Today/CNN/Gallup survey of 369 working...Ch. 8 - The Pew Research Center has conducted extensive...Ch. 8 - A survey of 750 likely voters in Ohio was...Ch. 8 - The Centers for Disease Control reported the...Ch. 8 - A well-known bank credit card firm wishes to...Ch. 8 - Workers in several industries were surveyed to...Ch. 8 - Although airline schedules and cost are important...Ch. 8 - Young Professional Magazine Young Professional...Ch. 8 - Gulf Real Estate Properties Gulf Real Estate...Ch. 8 - Metropolitan Research, Inc. Metropolitan Research,...
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