BASIC PRACTICE OF STATISTICS+LAUNCHPAD
8th Edition
ISBN: 9781319053093
Author: Moore
Publisher: MAC HIGHER
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Chapter 16.3, Problem 5AYK
To determine
To find: The critical value
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A 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.
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?
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.
Chapter 16 Solutions
BASIC PRACTICE OF STATISTICS+LAUNCHPAD
Ch. 16.1 - Prob. 1AYKCh. 16.1 - Prob. 2AYKCh. 16.2 - Prob. 3AYKCh. 16.2 - Prob. 4AYKCh. 16.3 - Prob. 5AYKCh. 16.3 - Prob. 6AYKCh. 16.3 - Prob. 7AYKCh. 16.4 - Prob. 8AYKCh. 16.4 - Prob. 9AYKCh. 16.4 - Prob. 10AYK
Ch. 16 - Prob. 16.11CYSCh. 16 - Prob. 16.12CYSCh. 16 - Prob. 16.13CYSCh. 16 - Prob. 16.14CYSCh. 16 - Prob. 16.15CYSCh. 16 - Prob. 16.16CYSCh. 16 - Prob. 16.17CYSCh. 16 - Prob. 16.18CYSCh. 16 - Prob. 16.19ECh. 16 - Prob. 16.20ECh. 16 - Prob. 16.21ECh. 16 - Prob. 16.22ECh. 16 - Prob. 16.23ECh. 16 - Prob. 16.24ECh. 16 - Prob. 16.25ECh. 16 - Prob. 16.26ECh. 16 - Prob. 16.27ECh. 16 - Prob. 16.28E
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