An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Textbook Question
Chapter 11.3, Problem 19Q
The fuel economy (in miles per gallon) of an automobile can depend on a number of factors, but the table below suggests that the weight of vehicle is a very good predictor.
| Model | Wight,
|
Fuel usage,
|
| Toyota Yaris Liftback (manual) | 2370 | 34 |
| Toyota Yaris Sedan | 2430 | 33 |
| Scion
|
2450 | 32 |
| Honda Fit. Sport. (manual) | 2495 | 34 |
| Honda Fit | 2535 | 32 |
| Chevrolet Malibu
|
3135 | 24 |
| Honda Accord
|
3195 | 24 |
| Nissan Altima 2.5 S | 3215 | 25 |
| Toyota Camry LE
|
3280 | 24 |
| BMW 325i | 2460 | 24 |
| Volkswagen Passt 2.0T | 3465 | 24 |
| Lexus IS250 | 3510 | 24 |
Find the 95% confidence interval for
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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?
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The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at
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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?
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Chapter 11 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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