Refer to the accompanying data set and construct a 90​% confidence interval estimate of the mean pulse rate of adult​ females; then do the same for adult males. Compare the results.
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Part 1
Construct a 90​% confidence interval of the mean pulse rate for adult females.

72.2 bpmless thanmuless than

76.4 bpm
​(Round to one decimal place as​ needed.)

To construct a 90% confidence interval for the mean pulse rate of adult females, we follow these steps:

### Steps for Confidence Interval Calculation:
1. **Identify the sample dataTo construct a 90% confidence interval for the mean pulse rate of adult females, we follow these steps:

### Steps for Confidence Interval Calculation:
1. **Identify the sample **
   - We need the sample mean (\(\bar{x}\)), sample standard deviation (\(s\)), and sample size (\(n\)) for adult females.

2. **Determine the z-score (or t-score for small samples):**
   - For a 90% confidence interval, the critical value \(z_{\alpha/2}\) corresponds to the 5th percentile in a standard normal distribution, which is approximately 1.645 (since 90% confidence interval splits the remaining 10% into 5% in each tail).

3. **Apply the formula:**
   The confidence interval formula is given by:
   \[
   \bar{x} \pm z_{\alpha/2} \left(\frac{s}{\sqrt{n}}\right)
   \]
   where:
   - \(\bar{x}\) = sample mean
   - \(s\) = sample standard deviation
   - \(n\) = sample size
   - \(z_{\alpha/2}\) = critical value from z-distribution for a 90% confidence

Refer to the accompanying data set and construct a 90% confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results.

Learn how to construct a 90% confidence interval for the mean pulse rates of adult females and males using statistical techniques. This problem covers key statistical concepts, including confidence intervals, the z-score for a 90% interval, and standard error. Suitable for students in Grades 11-12.

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