Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 5, Problem 74H
For each
74. Births are approximately uniformly distributed between the 52 weeks of the year. They can be said o follow a uniform distribution from one to 53 (spread of 52 weeks).
b. Graph the probability distribution.
C. f(x)=
d.
e.
f. Find the probability that a person Is born at the exact moment week 19 starts. That Is, find P(x 19) = ________
g. P(2< x<31)= _______
h. Find the probability that a person Is born after week .10.
i. P(12x/x<28)= _______
j. Find the 70th percentile.
k. Find the minimum for the upper quarter:
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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 5 Solutions
Introductory Statistics
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