Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 5, Problem 5CRE
Random Digits The digits 0, 1, 2,3,4, 5,6,7, 8, and 9 are randomly selected for applications in including the selection of lottery numbers and the selection of telephone numbers to be called as part of a survey. In the following tables, the table at the left summarizes actual results from 100 randomly selected digits, and the table at the right summarizes the
| Digit | Frequency |
| 0 | 9 |
| 1 | 7 |
| 2 | 12 |
| 3 | 10 |
| 4 | 10 |
| 5 | 11 |
| 6 | 8 |
| 7 | 8 |
| 8 | 14 |
| 9 | 11 |
| Digit x | P(x) |
| 0 | 0.1 |
| 1 | 0.1 |
| 2 | 0.1 |
| 3 | 0.1 |
| 4 | 0.1 |
| 5 | 0.1 |
| 6 | 0.1 |
| 7 | 0.1 |
| 8 | 0.1 |
| 9 | 0.1 |
- a. What is the table at the left called? b. What is the table at the right called?
- b. Use the table at the left to find the
mean . Is the result a statistic or a parameter? - c. Use the table at the right to find the mean. Is the result a statistic or a parameter?
- d. If you were to randomly generate 1000 such digits, would you expect the mean of these 1000 digits to be dose to the result from part (c) or part (d)? Why?
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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.
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(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
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Chapter 5 Solutions
Essentials of Statistics (5th Edition)
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