Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 1, Problem 45H
For each of the following eight exercises, identify: a. the population, b. (he sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate.
Insurance companies are interested in the
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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 1 Solutions
Introductory Statistics
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Nominal,...Ch. 1 - Design an experiment. Identify the explanatory and...Ch. 1 - Discuss potential violations of the rule requiring...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Airline companies are interested in the...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - List some practical difficulties involved in...Ch. 1 - List some practical difficulties involved in...Ch. 1 - With your classmates, brainstorm some ways you...Ch. 1 - The instructor takes her sample by gathering data...Ch. 1 - A study was done to determine the age, number of...Ch. 1 - Name the sampling method used in each of the...Ch. 1 - A “random survey” was conducted of 3,2’4 people of...Ch. 1 - The Well-Being Index is a survey that follows...Ch. 1 - In advance of the 1936 Presidential Election, a...Ch. 1 - Crime-related and demographic statistics for 4 US...Ch. 1 - YouPolls is a website that allows anyone to create...Ch. 1 - A scholarly article about response rates begins...Ch. 1 - Fifty part-time students were asked how many...Ch. 1 - Sixty adults with gum disease were asked the...Ch. 1 - Nineteen immigrants to the U.S were asked how many...Ch. 1 - How much time does it take to navel to work? 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