DA medical rescarcher treats 400 subjects with high cholestrol using a new drug. After two months of taking tne drug, the average. ssumes that the decrease in cholestrol follows a normal distribution,with unknown mean u and standard deviation o = 15. Construct a 99% Confidence interval for Me decreasě in cholcstrol level is & =75 and the rescarcher %3D

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A medical researcher treats 400 subjects with high cholesterol using a new drug. After two months of taking the drug, the average decrease in cholesterol level is \( \bar{x} = 75 \), and the researcher assumes that the decrease in cholesterol follows a normal distribution, with unknown mean \( \mu \) and standard deviation \( \sigma = 15 \). Construct a 99% confidence interval for \( \mu \).

**Explanation:**

This handwritten text provides information about a medical study involving a new drug for high cholesterol. It details a statistical problem where the researcher needs to construct a confidence interval for the mean decrease in cholesterol level. 

- **Sample size**: 400 subjects
- **Sample mean \((\bar{x})\)**: 75
- **Standard deviation \((\sigma)\)**: 15
- **Confidence level**: 99%

The task is to find the 99% confidence interval for the population mean (\(\mu\)) of the decrease in cholesterol. The information implies using the normal distribution to carry out this statistical analysis.
Transcribed Image Text:**Text Transcription:** A medical researcher treats 400 subjects with high cholesterol using a new drug. After two months of taking the drug, the average decrease in cholesterol level is \( \bar{x} = 75 \), and the researcher assumes that the decrease in cholesterol follows a normal distribution, with unknown mean \( \mu \) and standard deviation \( \sigma = 15 \). Construct a 99% confidence interval for \( \mu \). **Explanation:** This handwritten text provides information about a medical study involving a new drug for high cholesterol. It details a statistical problem where the researcher needs to construct a confidence interval for the mean decrease in cholesterol level. - **Sample size**: 400 subjects - **Sample mean \((\bar{x})\)**: 75 - **Standard deviation \((\sigma)\)**: 15 - **Confidence level**: 99% The task is to find the 99% confidence interval for the population mean (\(\mu\)) of the decrease in cholesterol. The information implies using the normal distribution to carry out this statistical analysis.
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