Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 1, Problem 19SE
Investigating Data (Example 4) A data set on Shark Attacks Worldwide posted on StatCrunch records data on all shark attacks in recorded history including attacks before 1800. Variables contained in the data include time of attack, date, location, activity the victim was engaged in when attacked, type of injuries sustained by the victim, whether or not the injury was fatal, and species of shark. Which of the following questions could not be answered using this data set? (Source: www.sharkattackfile.net)
a. In what month do most shark attacks occur?
b. Are shark attacks more likely to occur in warm temperature or cooler temperatures?
c. Attacks by which species of shark are more likely to result in a fatality?
d. What country has the most shark attacks per year?
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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 1 Solutions
Introductory Statistics
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