EP BASIC BUS.STATS-ACCESS (18 WEEKS)
EP BASIC BUS.STATS-ACCESS (18 WEEKS)
14th Edition
ISBN: 9780135989005
Author: BERENSON
Publisher: PEARSON CO
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Chapter 17, Problem 8PS

Undergraduate students at Miami University in Oxford, Ohio, were surveyed in order to evaluate the effect of price on the purchase of a pizza Hut. The students were asked to suppose that they were going to have a large two-topping delivered to their residence. Then they were asked to select from either Pizza Hut or another pizzeria of their choice. The price they would have to pay to get a Pizza Hut pizza differed from survey to survey. For example, some surveys used the price $11 .49 . Other prices investigated were $8 .49,  $9 .49, $10 .49, $12 .49, $13 .49 . and $14 .49 . The dependent variable for this study is whether or not a student will select Pizza Hut. The independent variables are the price of a Pizza Hut pizza and the gender of the student ( 1 = male, 0 = female ) .

a. Using half the data as the training sample and the other half of the data as the validation sample, develop a classification tree model to predict the probability the student will select Pizza Hut based on the price of a Pizza Hut pizza and the gender of the student.

b. What conclusions can you reach about the probability the student will select Pizza Hut?

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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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