An herbal medicine is tested on 10 patients with sleeping disorders. The table below shows the hours of sleep patients got during one night without using the herbal medicine and the hours of sleep the same patients got on another night after the herbal medicine was administered. Assume underlying normal distributions. Patient 1 2 3 4 5 6 7 8 9 10 Hours without 1.0 1.4 3.4 3.7 5.1 5.1 5.2 5.3 5.5 5.8 Hours with 2.9 3.3 3.5 4.4 5.0 5.0 5.2 5.3 6.0 6.5 Construct a 90% confidence interval for the mean difference. Interpret the confidence interval. What is the point estimate of this interval? What is the margin of error? At a= 0.01, does the herbal medicine increase the number of hours of sleep during one night?
An herbal medicine is tested on 10 patients with sleeping disorders. The table below shows the hours of sleep patients got during one night without using the herbal medicine and the hours of sleep the same patients got on another night after the herbal medicine was administered. Assume underlying normal distributions. Patient 1 2 3 4 5 6 7 8 9 10 Hours without 1.0 1.4 3.4 3.7 5.1 5.1 5.2 5.3 5.5 5.8 Hours with 2.9 3.3 3.5 4.4 5.0 5.0 5.2 5.3 6.0 6.5 Construct a 90% confidence interval for the mean difference. Interpret the confidence interval. What is the point estimate of this interval? What is the margin of error? At a= 0.01, does the herbal medicine increase the number of hours of sleep during one night?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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An herbal medicine is tested on 10 patients with sleeping disorders. The table below shows the hours of sleep patients got during one night without using the herbal medicine and the hours of sleep the same patients got on another night after the herbal medicine was administered. Assume underlying
Patient |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Hours without |
1.0 |
1.4 |
3.4 |
3.7 |
5.1 |
5.1 |
5.2 |
5.3 |
5.5 |
5.8 |
Hours with |
2.9 |
3.3 |
3.5 |
4.4 |
5.0 |
5.0 |
5.2 |
5.3 |
6.0 |
6.5 |
- Construct a 90% confidence interval for the mean difference.
- Interpret the confidence interval.
- What is the point estimate of this interval?
- What is the margin of error?
- At a= 0.01, does the herbal medicine increase the number of hours of sleep during one night?
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