EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 8, Problem 24CE
a.
To determine
Explain if the
b.
To determine
Explain if the sample size is increased what will happen to the distribution of the sample means.
c.
To determine
Give the benefit of using larger sample sizes when using sample means to estimate the population mean.
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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.
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
10
20
f(x)
.05
.10
11
30
40
50
60
.10
.20
.35
.20
a. Is this probability distribution valid?
Yes
Explain.
greater than or equal to 0
f(x)
Σf(x)
equal to 1
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
Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and
severity as the regressors.
(a) Test for significance of regression.
(b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model?
(c) Has adding severity to the model improved the quality of the model fit? Explain your answer.
The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at
random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37,
10.44, 9.25, 9.38, and 10.85.
(a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05.
(b) Construct a 95% two-sided confidence interval on μ.
(c) Test the hypothesis that σ² = 11 using α = 0.05.
(d) Construct a 95% two-sided confidence interval on σ.
(e) Construct a 95% upper confidence interval on σ.
(f) Does the assumption of normality seem reasonable for the output voltage?
Chapter 8 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
Ch. 8 - Prob. 1SRCh. 8 - Prob. 2SRCh. 8 - The following is a list of 24 Marcos Pizza stores...Ch. 8 - The following is a list of 29 hospitals in the...Ch. 8 - Listed below are the 35 members of the Metro...Ch. 8 - Listed next are the 27 Nationwide Insurance agents...Ch. 8 - The years of service of the five executives...Ch. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7E
Ch. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - There are five sales associates at Mid-Motors...Ch. 8 - Prob. 4SRCh. 8 - Prob. 11ECh. 8 - Prob. 12ECh. 8 - Prob. 5SRCh. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - Prob. 17ECh. 8 - Prob. 18ECh. 8 - Prob. 19CECh. 8 - The Medical Assurance Company is investigating the...Ch. 8 - Prob. 21CECh. 8 - Prob. 22CECh. 8 - Prob. 23CECh. 8 - Prob. 24CECh. 8 - Prob. 25CECh. 8 - As a part of their customer-service program,...Ch. 8 - Prob. 27CECh. 8 - Prob. 28CECh. 8 - Prob. 29CECh. 8 - The Appliance Center has six sales representatives...Ch. 8 - Prob. 31CECh. 8 - Prob. 32CECh. 8 - Prob. 33CECh. 8 - Prob. 34CECh. 8 - Prob. 35CECh. 8 - A recent study by the Greater Los Angeles Taxi...Ch. 8 - Prob. 37CECh. 8 - Prob. 38CECh. 8 - Prob. 39CECh. 8 - Prob. 40CECh. 8 - Prob. 41CECh. 8 - Human Resource Consulting (HRC) surveyed a random...Ch. 8 - Over the past decade, the mean number of hacking...Ch. 8 - Prob. 44CECh. 8 - Prob. 45CECh. 8 - Prob. 46DACh. 8 - Prob. 47DACh. 8 - Prob. 48DA
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