Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
9th Edition
ISBN: 9781319055967
Author: Moore
Publisher: MAC HIGHER
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Chapter 10, Problem 39E

(a)

To determine

To explain: The null and alternate hypotheses.

(b)

To determine

To find: The t statistic and P- value of hypothesis stated in part (a).

(c)

To determine

To find: The 95% confidence interval.

To determine

To explain: The obtained 95% confidence interval.

(d)

To determine

To explain: The percent of the variability in 2014 tuition explained by a linear regression model using the 2008 tuition.

(e)

To determine

To explain: Why the inference of β0 is not important

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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.
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