2. Practice paired observation procedures for the following 6 samples to test if the differences for Company A and Company B is positive. 2 10.0 10.1 Company A Company B Ho: Hint: when calculating differences, include + and - Ha: Hd > 0 1 8.8 8.4 Decision: 3 12.5 12.0 n = crit = 4 9.7 9.3 stat = df = 5 10.0 9.0 mean of differences = standard deviation of differences = 0.363 alpha = 5% α = pvalue= 6 13.2 13
2. Practice paired observation procedures for the following 6 samples to test if the differences for Company A and Company B is positive. 2 10.0 10.1 Company A Company B Ho: Hint: when calculating differences, include + and - Ha: Hd > 0 1 8.8 8.4 Decision: 3 12.5 12.0 n = crit = 4 9.7 9.3 stat = df = 5 10.0 9.0 mean of differences = standard deviation of differences = 0.363 alpha = 5% α = pvalue= 6 13.2 13
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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Transcribed Image Text:**Paired Observation Procedures for Company Sample Differences**
This exercise involves executing paired observation procedures to determine if the difference between Company A and Company B for the given six samples is positive.
**Data Table:**
| Sample | 1 | 2 | 3 | 4 | 5 | 6 |
|--------|-----|-----|-----|-----|-----|-----|
| Company A | 8.8 | 10.0 | 12.5 | 9.7 | 10.0 | 13.2 |
| Company B | 8.4 | 10.1 | 12.0 | 9.3 | 9.0 | 13.0 |
**Instructions:**
- **Hint:** When calculating differences, include both positive and negative signs where applicable.
**Hypotheses:**
- Null Hypothesis (\(H_0\)):
- Alternative Hypothesis (\(H_a\)): \(\mu_d > 0\)
**Analysis:**
- Sample size (\(n\)):
- Degrees of freedom (\(df\)):
- Significance level (\(\alpha\)): \(5\%\)
- Mean of differences:
- **Standard deviation of differences**: \(0.363\)
**Decision Criteria:**
- Critical value (\(crit\)) =
- Test statistic (\(stat\)) =
- p-value =
These parameters will guide the decision on whether the difference between Company A and Company B is statistically significant.
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