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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, 64.259344<µ(Pulse) < 68.571524 a) Explain carefully what the software output means. b) What's the margin of error for this intervål? c) If the researcher had calculated a 90% confidence interval, would the margin of error be larger or smaller? a) Explain carefully what the software output means.

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, 64.259344<µ(Pulse) < 68.571524 a) Explain carefully what the software output means. b) What's the margin of error for this intervål? c) If the researcher had calculated a 90% confidence interval, would the margin of error be larger or smaller? a) Explain carefully what the software output means.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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, 64.259344 < µ(Pulse) < 68.571524 a) Explain carefully what the software output means. b) What's the margin of error for this intervål? c) If the researcher had calculated a 90% confidence interval, would the margin of error be larger or smaller? a) Explain carefully what the software output means. O A. We are 95% confident the interval 64.3 to 68.6 beats per minute contains the true mean heart rate. O B. The interval 64.3 to 68.6 beats per minute contains the true mean heart rate 95% of the time. O C. 95% of the pulse rates will be between 64.3 to 68.6 beats per minute. O D. 95% of all pulse rates will have a mean rate between 64.3 to 68.6 beats per minute. b) What's the margin of error for this interval? (Round to one decimal place.) c) If the researcher had calculated a 90% confidence interval, would the margin of error be larger or smaller? OA. The margin of error would have been larger. OB. The margin of error would have been smaller. OC. The margin of error would have remained the same.
Transcribed Image Text: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, 64.259344 < µ(Pulse) < 68.571524 a) Explain carefully what the software output means. b) What's the margin of error for this intervål? c) If the researcher had calculated a 90% confidence interval, would the margin of error be larger or smaller? a) Explain carefully what the software output means. O A. We are 95% confident the interval 64.3 to 68.6 beats per minute contains the true mean heart rate. O B. The interval 64.3 to 68.6 beats per minute contains the true mean heart rate 95% of the time. O C. 95% of the pulse rates will be between 64.3 to 68.6 beats per minute. O D. 95% of all pulse rates will have a mean rate between 64.3 to 68.6 beats per minute. b) What's the margin of error for this interval? (Round to one decimal place.) c) If the researcher had calculated a 90% confidence interval, would the margin of error be larger or smaller? OA. The margin of error would have been larger. OB. The margin of error would have been smaller. OC. The margin of error would have remained the same.
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