Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 13.4, Problem 41E
A subset of data read from a graph that appeared in the paper “Decreased Brain Volume in Adults with Childhood Lead Exposure” (Public Library of Science Medicine [May 27, 2008]: e112) was used to produce the following Minitab output, where x = Mean childhood blood lead level (μg/dL) and y = Brain volume change (percentage). (See Exercise 13.21 for a more complete description of the study described in this paper.)
- a. What is the equation of the estimated regression line?
- b. For this data set,
- c. Construct a 90% prediction interval for brain volume change for a person with a childhood blood lead level of 20 μg/dL.
- d. Explain the difference in interpretation of the intervals computed in Parts (b) and (c).
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Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table.
Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table.
Measure of HRV(Average Normal-to-Normal Beat Interval)
Mean
StandardDeviation
Owns Dog
871
134
Does Not Own Dog
800
138
(b)
The paper indicates that the null hypothesis in part (a) was rejected and reported that the P-value was less than 0.05. Carry out a two-sample t test. (Use
? = 0.05.
Use ?1 for heart attack patients who are dog owners and ?2 for heart attack patients who do not own a dog.)
Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.)
t=…
Chapter 13 Solutions
Introduction To Statistics And Data Analysis
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