Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 8.7, Problem 8.64E
a.
To determine
To find: A 98% confidence interval for the difference
b.
To determine
To explain: The 98% confidence interval of difference in population proportions.
c.
To determine
To explain: The difference between the two group is significant or not.
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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?
Analyze the residuals from the regression model on the patient satisfaction data from Exercise 3. Comment on
the adequacy of the regression model.
Chapter 8 Solutions
Introduction to Probability and Statistics
Ch. 8.4 - Prob. 8.3ECh. 8.4 - Prob. 8.4ECh. 8.4 - Prob. 8.5ECh. 8.4 - Prob. 8.6ECh. 8.4 - Prob. 8.7ECh. 8.4 - Prob. 8.8ECh. 8.4 - Prob. 8.9ECh. 8.4 - Prob. 8.10ECh. 8.4 - Prob. 8.11ECh. 8.4 - Prob. 8.12E
Ch. 8.4 - Prob. 8.13ECh. 8.4 - Prob. 8.14ECh. 8.4 - Prob. 8.15ECh. 8.4 - Prob. 8.16ECh. 8.4 - Prob. 8.18ECh. 8.4 - Prob. 8.19ECh. 8.4 - Hotel Costs Even within a particular chain of...Ch. 8.4 - Prob. 8.21ECh. 8.5 - Find and interpret a 95% confidence interval for a...Ch. 8.5 - Find a 90% confidence interval for a population...Ch. 8.5 - Prob. 8.26ECh. 8.5 - Prob. 8.27ECh. 8.5 - Prob. 8.28ECh. 8.5 - Prob. 8.29ECh. 8.5 - Compare the confidence intervals in Exercise 8.29....Ch. 8.5 - Prob. 8.31ECh. 8.5 - Prob. 8.32ECh. 8.5 - Prob. 8.33ECh. 8.5 - Prob. 8.34ECh. 8.5 - Prob. 8.35ECh. 8.5 - Prob. 8.36ECh. 8.5 - Prob. 8.38ECh. 8.5 - What’s Normal? What is normal, when it comes to...Ch. 8.5 - Prob. 8.40ECh. 8.6 - Independent random samples were selected from...Ch. 8.6 - Prob. 8.42ECh. 8.6 - Prob. 8.43ECh. 8.6 - Prob. 8.44ECh. 8.6 - Prob. 8.45ECh. 8.6 - Prob. 8.46ECh. 8.6 - Prob. 8.47ECh. 8.6 - Prob. 8.48ECh. 8.6 - Prob. 8.49ECh. 8.6 - Prob. 8.50ECh. 8.6 - Hotel Costs Refer to Exercise 8.20. The means and...Ch. 8.6 - Noise and Stress To compare the effect of stress...Ch. 8.6 - Prob. 8.53ECh. 8.7 - Prob. 8.54ECh. 8.7 - Prob. 8.55ECh. 8.7 - Prob. 8.56ECh. 8.7 - Prob. 8.58ECh. 8.7 - Prob. 8.61ECh. 8.7 - Prob. 8.64ECh. 8.7 - Prob. 8.65ECh. 8.7 - Prob. 8.66ECh. 8.9 - Prob. 8.67ECh. 8.9 - Prob. 8.68ECh. 8.9 - Prob. 8.69ECh. 8.9 - Prob. 8.70ECh. 8.9 - Prob. 8.71ECh. 8.9 - Prob. 8.72ECh. 8.9 - Prob. 8.73ECh. 8.9 - Prob. 8.75ECh. 8.9 - Prob. 8.77ECh. 8.9 - Prob. 8.78ECh. 8.9 - Prob. 8.80ECh. 8.9 - Prob. 8.81ECh. 8.9 - Prob. 8.83ECh. 8 - Prob. 8.86SECh. 8 - Prob. 8.87SECh. 8 - Prob. 8.88SECh. 8 - Prob. 8.89SECh. 8 - Prob. 8.90SECh. 8 - Prob. 8.91SECh. 8 - Prob. 8.92SECh. 8 - Prob. 8.93SECh. 8 - Prob. 8.94SECh. 8 - Prob. 8.95SECh. 8 - Prob. 8.96SECh. 8 - Prob. 8.98SECh. 8 - Prob. 8.99SECh. 8 - Prob. 8.100SECh. 8 - Prob. 8.101SECh. 8 - Prob. 8.103SECh. 8 - Prob. 8.107SECh. 8 - Prob. 8.108SECh. 8 - Prob. 8.109SECh. 8 - Prob. 8.110SECh. 8 - Prob. 8.111SECh. 8 - Prob. 8.112SECh. 8 - Prob. 8.113SECh. 8 - Prob. 8.114SECh. 8 - Prob. 8.115SECh. 8 - Prob. 8.116SECh. 8 - Prob. 8.117SE
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