Pinecrest Academy conducted a health and fitness survey on a random sample of its 36 high school seniors. Below is the table of the resting heart rates (in beats per minute) of the participants: Resting Heart Rates (beats per minute): 58 67 76 65 72 71 73 68 66 69 78 64 61 63 74 70 71 69 62 60 77 59 65 64 66 58 67 70 72 63 68 69 71 75 62 60 a) Estimate, with 92% confidence, the proportion of all seniors at Pirrecrest Academy who have a resting heart rate of less than 70 beats per minute. b) How would the width of the interval in Part a) change if you wanted to be 95% confident, holding all other values constant? c) How would the width of the interval in Part a) change if we decreased the sample size
Pinecrest Academy conducted a health and fitness survey on a random sample of its 36 high school seniors. Below is the table of the resting heart rates (in beats per minute) of the participants: Resting Heart Rates (beats per minute): 58 67 76 65 72 71 73 68 66 69 78 64 61 63 74 70 71 69 62 60 77 59 65 64 66 58 67 70 72 63 68 69 71 75 62 60 a) Estimate, with 92% confidence, the proportion of all seniors at Pirrecrest Academy who have a resting heart rate of less than 70 beats per minute. b) How would the width of the interval in Part a) change if you wanted to be 95% confident, holding all other values constant? c) How would the width of the interval in Part a) change if we decreased the sample size
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Pinecrest Academy conducted a health and fitness survey on a random sample of its 36 high school seniors. Below is the table of the resting heart rates (in beats per minute) of the participants:
**Resting Heart Rates (beats per minute):**
| 58 | 67 | 76 | 65 | 72 | 71 | 73 | 68 | 66 |
|----|----|----|----|----|----|----|----|----|
| 69 | 78 | 64 | 61 | 63 | 74 | 70 | 71 | 69 |
| 62 | 60 | 77 | 59 | 65 | 64 | 66 | 58 | 67 |
| 70 | 72 | 63 | 69 | 71 | 75 | 62 | 60 | |
**Questions:**
a) Estimate, with 92% confidence, the proportion of all seniors at Pinecrest Academy who have a resting heart rate of less than 70 beats per minute.
b) How would the width of the interval in Part a) change if you wanted to be 95% confident, holding all other values constant?
c) How would the width of the interval in Part a) change if we decreased the sample size to 30 seniors, holding all other values constant?
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