A normal resting heart rate for adults ranges from about 60 to 100 beats per minute (BPM). A doctor would like to estimate the average heart rate for one of her patients. The doctor instructs her patient to measure their resting heart rate twice a day for one week. The measurements are listed below. Assume that the distribution of all heart rate measurements of this patient is approximately normally distributed. x = Determine the point estimate, and the sample standard deviation, s. Round the solutions to four decimal places, if necessary. S = A 95% confidence interval is given by 93 87 81 85 91 86 84 85 80 93 87 85 80 88 Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the average resting heart rate of this patient. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. The margin of error is given by E = Hola Video 1 Video 2

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### Estimating Average Resting Heart Rate

#### Overview:
A normal resting heart rate for adults ranges from about 60 to 100 beats per minute (BPM). A doctor aims to estimate the average heart rate for one of her patients. The patient is instructed to measure their resting heart rate twice a day for one week. Listed below are the collected measurements. Assume the distribution of all heart rate measurements from this patient is approximately normally distributed.

#### Heart Rate Measurements:

| 93 | 91 |
|----|----|
| 87 | 86 |
| 81 | 84 |
| 85 | 85 |
| 80 | 93 |
| 87 | 85 |
| 80 | 88 |

#### Task:
1. **Determine the point estimate (\(\bar{x}\)) and sample standard deviation (\(s\)):**
   - Round the solutions to four decimal places if necessary.
   - \(\bar{x} = \)
   - \(s = \)

2. **Using a 95% confidence level:**
   - Determine the margin of error (\(E\)) and a confidence interval for the average resting heart rate of this patient.
   - Report the confidence interval using interval notation.
   - Round solutions to two decimal places if necessary.

   - The margin of error is given by \(E = \).
   - A 95% confidence interval is given by \([ \quad , \quad ]\).

#### Additional Resources:
- Video 1
- Video 2

Use these resources for further understanding of confidence intervals and statistical calculations.
Transcribed Image Text:### Estimating Average Resting Heart Rate #### Overview: A normal resting heart rate for adults ranges from about 60 to 100 beats per minute (BPM). A doctor aims to estimate the average heart rate for one of her patients. The patient is instructed to measure their resting heart rate twice a day for one week. Listed below are the collected measurements. Assume the distribution of all heart rate measurements from this patient is approximately normally distributed. #### Heart Rate Measurements: | 93 | 91 | |----|----| | 87 | 86 | | 81 | 84 | | 85 | 85 | | 80 | 93 | | 87 | 85 | | 80 | 88 | #### Task: 1. **Determine the point estimate (\(\bar{x}\)) and sample standard deviation (\(s\)):** - Round the solutions to four decimal places if necessary. - \(\bar{x} = \) - \(s = \) 2. **Using a 95% confidence level:** - Determine the margin of error (\(E\)) and a confidence interval for the average resting heart rate of this patient. - Report the confidence interval using interval notation. - Round solutions to two decimal places if necessary. - The margin of error is given by \(E = \). - A 95% confidence interval is given by \([ \quad , \quad ]\). #### Additional Resources: - Video 1 - Video 2 Use these resources for further understanding of confidence intervals and statistical calculations.
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