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 95.00​% ​Confidence, 65.961748<μ​(Pulse)<69.918067 ​1.) Explain carefully what the software output means. A. The interval 66.0 to 69.9 beats per minute contains the true mean heart rate​ 95% of the time. B.We are​ 95% confident the interval 66.0 to 69.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 95.00​% ​Confidence, 65.961748<μ​(Pulse)<69.918067
​1.) Explain carefully what the software output means.
A. The interval 66.0 to 69.9 beats per minute contains the true mean heart rate​ 95% of the time.
B.We are​ 95% confident the interval 66.0 to 69.9 beats per minute contains the true mean heart rate.
C. ​95% of the pulse rates will be between 66.0 to 69.9 beats per minute.
D. ​95% of all pulse rates will have a mean rate between 66.0 to 69.9 beats per minute.
 
​2) What's the margin of error for this​ interval?
​3) If the researcher had calculated a 99​% confidence​ interval, would the margin of error be larger, smaller, or the same?
 
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