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 348 police officers from the same city. (The lower the measure of HRV, the more susceptible the officer is to cardiovascular disease.) For the 74 officers diagnosed with hypertension, a 90% confidence interval for the mean HRV was (9.5,124.2). For the 274 officers that are not hypertensive, a 90% confidence interval for the mean HRV was (141.8,186.2). Use this information to complete parts a through d below. a. What confidence coefficient was used to generate the confidence intervals? OType 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 V mean HRV for all hypertensive police officers in the is between and |. A similar statement can be made about the police officers without hypertension. (Type integers or decimals. Do not round.) c. When you say you are "90% confident," what do you mean? O A. The phrasing "90% confident" means that 90% of confidence intervals constructed from similarly collected samples will contain the true population mean. O B. The phrasing "90% confident" means that 90% of the sample data will fall between the bounds of the confidence interval. 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 similarly collected samples will be approximately normal 90% of the time. d. If you want to reduce the width of each confidence interval, should you use a smaller or larger confidence coefficient? Explain. A confidence coefficient should be used. This will result in a V and thus a narrower confidence interval.

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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 348 police officers from the same city. (The lower the measure of HRV, the more susceptible the officer is to cardiovascular disease.) For the 74 officers diagnosed with hypertension, a 90% confidence interval for the
mean HRV was (9.5, 124.2). For the 274 officers that are not hypertensive, a 90% confidence interval for the mean HRV was (141.8,186.2). 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
mean HRV for all hypertensive police officers in the
is between and
A similar statement can be made about the police officers without hypertension
(Type integers or decimals. Do not round.)
c. When you say you are "90% confident," what do you mean?
O A. The phrasing "90% confident" means that 90% of confidence intervals constructed from similarly collected samples will contain the true population mean.
O B. The phrasing "90% confident" means that 90% of the sample data will fall between the bounds of the confidence interval.
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 similarly collected samples will be approximately normal 90% of the time.
d. If you want to reduce the width of each confidence interval, should you use a smaller or larger confidence coefficient? Explain.
A
confidence coefficient should be used. This will result in a
V and thus a narrower confidence interval.
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 348 police officers from the same city. (The lower the measure of HRV, the more susceptible the officer is to cardiovascular disease.) For the 74 officers diagnosed with hypertension, a 90% confidence interval for the mean HRV was (9.5, 124.2). For the 274 officers that are not hypertensive, a 90% confidence interval for the mean HRV was (141.8,186.2). 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 mean HRV for all hypertensive police officers in the is between and A similar statement can be made about the police officers without hypertension (Type integers or decimals. Do not round.) c. When you say you are "90% confident," what do you mean? O A. The phrasing "90% confident" means that 90% of confidence intervals constructed from similarly collected samples will contain the true population mean. O B. The phrasing "90% confident" means that 90% of the sample data will fall between the bounds of the confidence interval. 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 similarly collected samples will be approximately normal 90% of the time. d. If you want to reduce the width of each confidence interval, should you use a smaller or larger confidence coefficient? Explain. A confidence coefficient should be used. This will result in a V and thus a narrower confidence interval.
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