A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.65°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view at distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean μ? °F<<°F (Round to three decimal places as needed.) What does this suggest about the use of 98.6°F as the mean body temperature? A. This suggests that the mean body temperature is lower than 98.6°F. OB. This suggests that the mean body temperature could very possibly be 98.6°F. OC. This suggests that the mean body temperature is higher than 98.6°F. CXLE

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### Confidence Interval and Analysis of Body Temperature Data

A dataset includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.65°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?

To assist in calculations, refer to the following resources:

- **Distribution Table:** [Click here to view a distribution table.]
- **Standard Normal Distribution Table:** [Click here to view page 1 of the standard normal distribution table.]
- [Click here to view page 2 of the standard normal distribution table.]

#### Questions and Calculations:

1. **What is the confidence interval estimate of the population mean μ?**
   \[
   \text{Confidence interval: } \_\_\_ < \mu < \_\_\_ \, (\text{Round to three decimal places as needed.})
   \]

2. **What does this suggest about the use of 98.6°F as the mean body temperature?**
   - **A:** This suggests that the mean body temperature is lower than 98.6°F.
   - **B:** This suggests that the mean body temperature could very possibly be 98.6°F.
   - **C:** This suggests that the mean body temperature is higher than 98.6°F.

(Note: The actual answers to the questions should be calculated using the data provided and the references given. This involves statistical methods beyond this descriptive summary.)

#### Graphs and Diagrams

There are no graphs or diagrams present in the image. The text involves instructions and questions on statistical analysis related to body temperature data.

Please proceed with calculations and use the referenced resources for further analysis.
Transcribed Image Text:### Confidence Interval and Analysis of Body Temperature Data A dataset includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.65°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? To assist in calculations, refer to the following resources: - **Distribution Table:** [Click here to view a distribution table.] - **Standard Normal Distribution Table:** [Click here to view page 1 of the standard normal distribution table.] - [Click here to view page 2 of the standard normal distribution table.] #### Questions and Calculations: 1. **What is the confidence interval estimate of the population mean μ?** \[ \text{Confidence interval: } \_\_\_ < \mu < \_\_\_ \, (\text{Round to three decimal places as needed.}) \] 2. **What does this suggest about the use of 98.6°F as the mean body temperature?** - **A:** This suggests that the mean body temperature is lower than 98.6°F. - **B:** This suggests that the mean body temperature could very possibly be 98.6°F. - **C:** This suggests that the mean body temperature is higher than 98.6°F. (Note: The actual answers to the questions should be calculated using the data provided and the references given. This involves statistical methods beyond this descriptive summary.) #### Graphs and Diagrams There are no graphs or diagrams present in the image. The text involves instructions and questions on statistical analysis related to body temperature data. Please proceed with calculations and use the referenced resources for further analysis.
Expert Solution
Step 1

Given information-

Sample size, n = 108

Sample mean, x-bar = 98.2 ℉

Sample standard deviation, s = 0.65 ℉

Significance level, α = 0.01

Population mean, μ = 98.6℉

Since here population standard deviation is unknown so we will use t-distribution.

Now, degree of freedom is given by-

Degree of freedom, df = n - 1

Degree of freedom, df = 108 - 1 = 107

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