Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d = X1 – x2. Test Ho : H4 = 0 vs H: µ
Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d = X1 – x2. Test Ho : H4 = 0 vs H: µ
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![### Current Attempt in Progress
Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using \( d = x_1 - x_2 \).
Test \( H_0 : \mu_d = 0 \) vs \( H_a : \mu_d < 0 \) using the paired data in the following table:
| | Treatment 1 | Treatment 2 |
|------------|-------------|-------------|
| Sample 1 | 18 | 18 |
| Sample 2 | 12 | 19 |
| Sample 3 | 11 | 25 |
| Sample 4 | 21 | 21 |
| Sample 5 | 15 | 19 |
| Sample 6 | 11 | 14 |
| Sample 7 | 14 | 15 |
| Sample 8 | 22 | 20 |
1. **Give the test statistic and the p-value.**
2. **Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.**
- **Test statistic: \[ \_\_\_\_\_\_ \]**
- **p-value: \[ \_\_\_\_\_\_ \]**
**References:**
- eTextbook and Media](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F915c192e-d8ba-4859-b60e-5e514228af12%2Fd77c6917-3212-4492-9c49-d41d19af1d03%2Fm6uyh5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Current Attempt in Progress
Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using \( d = x_1 - x_2 \).
Test \( H_0 : \mu_d = 0 \) vs \( H_a : \mu_d < 0 \) using the paired data in the following table:
| | Treatment 1 | Treatment 2 |
|------------|-------------|-------------|
| Sample 1 | 18 | 18 |
| Sample 2 | 12 | 19 |
| Sample 3 | 11 | 25 |
| Sample 4 | 21 | 21 |
| Sample 5 | 15 | 19 |
| Sample 6 | 11 | 14 |
| Sample 7 | 14 | 15 |
| Sample 8 | 22 | 20 |
1. **Give the test statistic and the p-value.**
2. **Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.**
- **Test statistic: \[ \_\_\_\_\_\_ \]**
- **p-value: \[ \_\_\_\_\_\_ \]**
**References:**
- eTextbook and Media
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