A medical researcher measured the pulse rates (beats per minute) of a sample of

Question

A medical researcher measured the pulse rates (beats per minute) of a sample of randomly selected adults and found the following Student's t-based confidence interval: With

95.0095.00% Confidence, 71.46235471.462354less than<mu(Pulse)less than<75.26903175.269031

a) Explain carefully what the software output means.

b) What's the margin of error for this interval?

c) If the researcher had calculated a 99% confidence interval, would the margin of error be larger or smaller?

____________________________________________________________________

a) Explain carefully what the software output means.

A. 95% of all pulse rates will have a mean rate between 71.5 to 75.3 beats per minute.

B. 95% of the pulse rates will be between 71.5 to 75.3 beats per minute.

C. The interval 71.5 to 75.3 beats per minute contains the true mean heart rate 95% of the time.

D. We are 95% confident the interval 71.5 to 75.3 beats per minute contains the true mean heart rate.

b) What's the margin of error for this interval?

(Round to one decimal place.)

c) If the researcher had calculated a 99% confidence interval, would the margin of error be larger or smaller?

A. The margin of error would have been smallersmaller.

B. The margin of error would have remained the same.

C. The margin of error would have been larger.

Explanation / Answer

a) If repeated samples were taken and the 95%confidence interval was computed for each sample, 95% of the intervals would contain the population mean. A 95% confidence interval has a 0.95 probability of containing the population mean. 95% of the population distribution is contained in theconfidence interval.

The 95% confidence interval defines a range of values that you can be 95% certain contains the population mean.

So, option D

b) As sample size increases, the margin of error decreases. As the variability in the population increases, the margin of error increases. As theconfidence level increases, the margin of error increases.

C option

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.