A simple random sample from a population with a normal distribution of 97 body temperatures has x = 98.90°F and s = 0.64°F. Construct a 98% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. °F

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### Statistical Analysis of Body Temperatures

A simple random sample from a population with a normal distribution of 97 body temperatures has a sample mean (\( \bar{x} \)) of 98.9°F and a sample standard deviation (\( s \)) of 0.64°F. Construct a 98% confidence interval estimate of the standard deviation of body temperature for all healthy humans.

#### Instructions

1. **Access Chi-Square Critical Values**:
   - Click the icon to view the table of Chi-Square critical values. These values are necessary for calculating the confidence interval for the standard deviation.

2. **Calculate the Confidence Interval**:
   - Use the Chi-Square distribution to find the appropriate confidence interval.

3. **Interval Format**:
   - The confidence interval should be in the format: 
     \[
     \text{Lower Limit}^\circ\text{F} < \sigma < \text{Upper Limit}^\circ\text{F}
     \]
   - Ensure to round your results to two decimal places as needed.

4. **Input Fields**:
   - There are two boxes provided to enter the lower and upper limits of the confidence interval.

This exercise will enhance your understanding of statistical confidence intervals and the application of the Chi-Square distribution in estimating population standard deviations.
Transcribed Image Text:### Statistical Analysis of Body Temperatures A simple random sample from a population with a normal distribution of 97 body temperatures has a sample mean (\( \bar{x} \)) of 98.9°F and a sample standard deviation (\( s \)) of 0.64°F. Construct a 98% confidence interval estimate of the standard deviation of body temperature for all healthy humans. #### Instructions 1. **Access Chi-Square Critical Values**: - Click the icon to view the table of Chi-Square critical values. These values are necessary for calculating the confidence interval for the standard deviation. 2. **Calculate the Confidence Interval**: - Use the Chi-Square distribution to find the appropriate confidence interval. 3. **Interval Format**: - The confidence interval should be in the format: \[ \text{Lower Limit}^\circ\text{F} < \sigma < \text{Upper Limit}^\circ\text{F} \] - Ensure to round your results to two decimal places as needed. 4. **Input Fields**: - There are two boxes provided to enter the lower and upper limits of the confidence interval. This exercise will enhance your understanding of statistical confidence intervals and the application of the Chi-Square distribution in estimating population standard deviations.
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