A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 23 subjects had a mean wake time of 105.0 min. After treatment, the 23 subjects had a mean wake time of 80.5 min and a standard deviation of 22.3 min. Assume that the 23 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 105.0 min before the treatment? Does the drug appear to be effective? Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. ] min < µ

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**Evaluating the Effectiveness of a Drug for Treating Insomnia in Older Adults: A Clinical Trial**

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Here are the key observations from the study:

- **Before treatment**: 23 subjects had a mean wake time of 105.0 minutes.
- **After treatment**: The same 23 subjects had a mean wake time of 80.5 minutes and a standard deviation of 22.3 minutes.

### Objective
Assume that the 23 sample values are from a normally distributed population. The goal is to construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. By doing so, we aim to answer the following questions:
1. What does the result suggest about the mean wake time of 105.0 minutes before the treatment?
2. Does the drug appear to be effective?

### Task
Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment.

### Confidence Interval Calculation
You are required to calculate the 95% confidence interval for the mean wake time (\( \mu \)) for the population after treatment.

The form for entering your calculated confidence interval is as follows:

\[ \text{min} < \mu < \text{min} \]
*Note: Round your answer to one decimal place as needed.*

### Entering Your Answer
Please enter your lower and upper bounds of the confidence interval in the respective edit fields and then click "Check Answer".

If you have any questions, feel free to seek help using the available resources.

![Help Icon](https://www.example.com/help-icon.jpg)

---

By accurately constructing and interpreting the confidence interval, we can determine the effectiveness of the drug in reducing wake times in older adults suffering from insomnia.
Transcribed Image Text:**Evaluating the Effectiveness of a Drug for Treating Insomnia in Older Adults: A Clinical Trial** A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Here are the key observations from the study: - **Before treatment**: 23 subjects had a mean wake time of 105.0 minutes. - **After treatment**: The same 23 subjects had a mean wake time of 80.5 minutes and a standard deviation of 22.3 minutes. ### Objective Assume that the 23 sample values are from a normally distributed population. The goal is to construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. By doing so, we aim to answer the following questions: 1. What does the result suggest about the mean wake time of 105.0 minutes before the treatment? 2. Does the drug appear to be effective? ### Task Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. ### Confidence Interval Calculation You are required to calculate the 95% confidence interval for the mean wake time (\( \mu \)) for the population after treatment. The form for entering your calculated confidence interval is as follows: \[ \text{min} < \mu < \text{min} \] *Note: Round your answer to one decimal place as needed.* ### Entering Your Answer Please enter your lower and upper bounds of the confidence interval in the respective edit fields and then click "Check Answer". If you have any questions, feel free to seek help using the available resources. ![Help Icon](https://www.example.com/help-icon.jpg) --- By accurately constructing and interpreting the confidence interval, we can determine the effectiveness of the drug in reducing wake times in older adults suffering from insomnia.
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