
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:The heart rate variability (HRV) of police officers was the subject of research published in a biology journal. HRV is defined as the variation in the time intervals between heartbeats. A measure of HRV was obtained for each in a sample of 331
police officers from the same city. (The lower the measure of HRV, the more susceptible the officer is to cardiovascular disease.) For the 76 officers diagnosed with hypertension, a 90% confidence interval for the mean HRV was (7.2,121.3). For
the 255 officers that are not hypertensive, a 90% confidence interval for the mean HRV was (141.6,189.9). Use this information to complete parts a through d below.
a. What confidence coefficient was used to generate the confidence intervals?
(Type an integer or a decimal. Do not round)
b. Give a practical interpretation of both of the 90% confidence intervals. Use the phrase '90% confident" in your answer.
The researchers can be 90% confident that the
Type integers or decimals. Do not round.)
V mean HRV for all hypertensive police officers in the
V is between and .A similar staternent can be made about the police officers without hypertension.
c. When you say you are "90% confident," what do you mean?
O A. The phrasing "90% confident" means that 90% of the sample data will fall between the bounds of the confidence interval.
O B. The phrasing '90% confident" means that similarly collected samples will be approximately normal 90% of the time.
O C. The phrasing '90% confident" means that there is a 90% chance that the sample data was collected in such a way that the bounds of the confidence interval can be trusted.
O D. The phrasing '90% confident" means that 90% of confidence intervals constructed from similarly collected samples will contain the true population mean.
d. If you want to reduce the width of each confidence interval, should you use a smaller or larger confidence coefficient? Explain.
confidence coefficient should be used. This will result in a
V and thus a narower confidence interval.
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