High Cholesterol: A group of five individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholester levels, in milligrams per deciliter (mg/dL.), were measured before and after treatment for each individual, with the following results: Subject Before After 1 167 145 2 169 125 173 143 156 130 179 126 3 4 5 Send data to Excel Part: 0/2 Part 1 of 2 (a) Construct a 99% confidence interval for the mean reduction in cholesterol level. Let d represent the cholesterol level before the new drug minus the cholesterol level after the new drug. Use the TI-84 Plus calculator and round the answers to one decimal place. A 99% confidence interval for the mean reduction in cholesterol level is

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### High Cholesterol Study

#### Introduction
This study involves a group of five individuals with high cholesterol levels. Each participant was given a new drug designed to lower cholesterol levels. Cholesterol levels were measured in milligrams per deciliter (mg/dL) before and after the treatment for each individual, with the following results:

| Subject | Before (mg/dL) | After (mg/dL) |
|---------|-----------------|--------------|
| 1       | 167             | 145          |
| 2       | 169             | 125          |
| 3       | 173             | 143          |
| 4       | 156             | 130          |
| 5       | 192             | 126          |

#### Instructions for Analysis
**Part 1 of 2:**
- **(a) Construct a 99% confidence interval for the mean reduction in cholesterol level.** Let \( \mu_d \) represent the cholesterol level before the new drug minus the cholesterol level after the new drug. Use the TI-84 Plus calculator and round the answers to one decimal place.
  
  A 99% confidence interval for the mean reduction in cholesterol level is \( \boxed{\ \ < \mu_d < \ } \).

To perform this calculation, follow these steps:
1. Compute the differences (\(d\)) between 'Before' and 'After' for each subject:
   - Subject 1: \(167 - 145 = 22\)
   - Subject 2: \(169 - 125 = 44\)
   - Subject 3: \(173 - 143 = 30\)
   - Subject 4: \(156 - 130 = 26\)
   - Subject 5: \(192 - 126 = 66\)
   
2. Find the mean and standard deviation of these differences.
   
3. Use the TI-84 Plus calculator to compute the 99% confidence interval for the mean of these differences, following the calculator's instructions for such computations.

This exercise helps students understand how to apply statistical tools to create confidence intervals for data analysis.

*Note: This explanation does not include the actual computational steps on the TI-84 Plus calculator. Students should refer to their calculator manual or instructional guides for detailed procedures.*
Transcribed Image Text:### High Cholesterol Study #### Introduction This study involves a group of five individuals with high cholesterol levels. Each participant was given a new drug designed to lower cholesterol levels. Cholesterol levels were measured in milligrams per deciliter (mg/dL) before and after the treatment for each individual, with the following results: | Subject | Before (mg/dL) | After (mg/dL) | |---------|-----------------|--------------| | 1 | 167 | 145 | | 2 | 169 | 125 | | 3 | 173 | 143 | | 4 | 156 | 130 | | 5 | 192 | 126 | #### Instructions for Analysis **Part 1 of 2:** - **(a) Construct a 99% confidence interval for the mean reduction in cholesterol level.** Let \( \mu_d \) represent the cholesterol level before the new drug minus the cholesterol level after the new drug. Use the TI-84 Plus calculator and round the answers to one decimal place. A 99% confidence interval for the mean reduction in cholesterol level is \( \boxed{\ \ < \mu_d < \ } \). To perform this calculation, follow these steps: 1. Compute the differences (\(d\)) between 'Before' and 'After' for each subject: - Subject 1: \(167 - 145 = 22\) - Subject 2: \(169 - 125 = 44\) - Subject 3: \(173 - 143 = 30\) - Subject 4: \(156 - 130 = 26\) - Subject 5: \(192 - 126 = 66\) 2. Find the mean and standard deviation of these differences. 3. Use the TI-84 Plus calculator to compute the 99% confidence interval for the mean of these differences, following the calculator's instructions for such computations. This exercise helps students understand how to apply statistical tools to create confidence intervals for data analysis. *Note: This explanation does not include the actual computational steps on the TI-84 Plus calculator. Students should refer to their calculator manual or instructional guides for detailed procedures.*
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