Question Help ▼ A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 15 subjects had a mean wake time of 101.0 min. After treatment, the 15 subjects had a mean wake time of 97.3 min and a standard deviation of 23.5 min. Assume that the 15 sample values appear to be from a normally distributed population and construct a 90% 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 101.0 min before the treatment? Does the drug appear to be effective? cents Construct the 90% confidence interval estimate of the mean wake time for a population with the treatment. cess min
Question Help ▼ A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 15 subjects had a mean wake time of 101.0 min. After treatment, the 15 subjects had a mean wake time of 97.3 min and a standard deviation of 23.5 min. Assume that the 15 sample values appear to be from a normally distributed population and construct a 90% 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 101.0 min before the treatment? Does the drug appear to be effective? cents Construct the 90% confidence interval estimate of the mean wake time for a population with the treatment. cess min
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Clinical Trial for Insomnia Treatment
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Below are the details of the trial and the instructions for analyzing the results:
**Trial Details:**
- **Number of Subjects:** 15
- **Mean Wake Time Before Treatment:** 101.0 minutes
- **Mean Wake Time After Treatment:** 97.3 minutes
- **Standard Deviation of Wake Time After Treatment:** 23.5 minutes
### Task:
You are required to assume that the 15 sample values of the wake times after treatment appear to come from a normally distributed population. Based on this, you need to construct a 90% confidence interval estimate of the mean wake time for a population with drug treatments.
**Key Questions:**
1. What does the result suggest about the mean wake time of 101.0 minutes before the treatment?
2. Does the drug appear to be effective?
### Instructions:
#### 1. Construct the 90% confidence interval estimate
- You need to calculate the interval using the given data and include the following format in your response:
\[
\text{min } < \mu < \text{min}
\]
(Round to one decimal place as needed.)
#### 2. Interpret the Results
- **Question:** What does the result suggest about the mean wake time of 101.0 minutes before the treatment?
- **Effectiveness of the Drug:** Does the drug appear to be effective?
Use the dropdown menus to complete the statements:
- **Confidence Interval Inclusion:**
```
The confidence interval ____ the mean wake time of 101.0 min before the treatment, so the means before and after the treatment ____ a significant effect.
```
(Options for first blank: includes, does not include)
(Options for second blank: show, do not show)
### Example Dropdown Menu:
Example dropdown selections would look as follows:
- **Does not include:**
```
The confidence interval does not include the mean wake time of 101.0 min before the treatment, so the means before and after the treatment show a significant effect.
```
- **Includes:**
```
The confidence interval includes the mean wake time of 101.0 min before the treatment, so the means before and after the treatment do not show a significant effect.
```
### Answer Submission
Enter your answers in each of the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f4a9f05-fdd6-4e90-876c-ee547117be59%2Fb4d74df1-f7dd-4680-9bb1-522aa386fcd5%2F7krcri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Clinical Trial for Insomnia Treatment
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Below are the details of the trial and the instructions for analyzing the results:
**Trial Details:**
- **Number of Subjects:** 15
- **Mean Wake Time Before Treatment:** 101.0 minutes
- **Mean Wake Time After Treatment:** 97.3 minutes
- **Standard Deviation of Wake Time After Treatment:** 23.5 minutes
### Task:
You are required to assume that the 15 sample values of the wake times after treatment appear to come from a normally distributed population. Based on this, you need to construct a 90% confidence interval estimate of the mean wake time for a population with drug treatments.
**Key Questions:**
1. What does the result suggest about the mean wake time of 101.0 minutes before the treatment?
2. Does the drug appear to be effective?
### Instructions:
#### 1. Construct the 90% confidence interval estimate
- You need to calculate the interval using the given data and include the following format in your response:
\[
\text{min } < \mu < \text{min}
\]
(Round to one decimal place as needed.)
#### 2. Interpret the Results
- **Question:** What does the result suggest about the mean wake time of 101.0 minutes before the treatment?
- **Effectiveness of the Drug:** Does the drug appear to be effective?
Use the dropdown menus to complete the statements:
- **Confidence Interval Inclusion:**
```
The confidence interval ____ the mean wake time of 101.0 min before the treatment, so the means before and after the treatment ____ a significant effect.
```
(Options for first blank: includes, does not include)
(Options for second blank: show, do not show)
### Example Dropdown Menu:
Example dropdown selections would look as follows:
- **Does not include:**
```
The confidence interval does not include the mean wake time of 101.0 min before the treatment, so the means before and after the treatment show a significant effect.
```
- **Includes:**
```
The confidence interval includes the mean wake time of 101.0 min before the treatment, so the means before and after the treatment do not show a significant effect.
```
### Answer Submission
Enter your answers in each of the
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