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

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**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.
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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