company is comparing methods for producing pipes and wants to choose the method with the least vanability. It has taken a sample of the lengths of the pipes using both methods shown on the lable below. Conduct lo-Variance 1 <-Variance 2, 11-Variance 1 > Variance 2. -Method 1 7 7 L2 11 1.9 8 Method 2 3.7 4.1 3.5 5.5 4.1 4.7 etermine if the results are signifi

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A company is comparing methods for producing pipes and wants to choose the method with the least variability. It has taken a sample of the lengths of the pipes using both methods as shown in the table below. Conduct an F test at alpha = 0.05 to determine if the results are significant.

**Hypotheses:**

- \( H_0 \): Variance 1 = Variance 2.
- \( H_1 \): Variance 1 > Variance 2.

**Table of Pipe Lengths:**

| Method 1 | Method 2 |
|----------|----------|
| 4.7      | 3.7      |
| 3.7      | 4.1      |
| 3.2      | 3.5      |
| 3.1      | 5.5      |
| 3.9      | 4.1      |
| 4.8      | 4.7      |
| 3.1      | 4.9      |
| 5.1      | 3.5      |
| 4.9      | 3.9      |
| 5.3      | 3.7      |
| 2.8      | 4.8      |
| 4.2      | 5        |
| 5.3      |          |
| 4.4      |          |
| 4.6      |          |

**Statistical Analysis:**

- **F critical:** [Choose]
- **F statistic:** [Choose]
- **Reject null hypothesis? (Yes, No):** [Choose]

**Note:** Fill in F critical, F statistic, and whether the null hypothesis is rejected based on your calculations.
Transcribed Image Text:A company is comparing methods for producing pipes and wants to choose the method with the least variability. It has taken a sample of the lengths of the pipes using both methods as shown in the table below. Conduct an F test at alpha = 0.05 to determine if the results are significant. **Hypotheses:** - \( H_0 \): Variance 1 = Variance 2. - \( H_1 \): Variance 1 > Variance 2. **Table of Pipe Lengths:** | Method 1 | Method 2 | |----------|----------| | 4.7 | 3.7 | | 3.7 | 4.1 | | 3.2 | 3.5 | | 3.1 | 5.5 | | 3.9 | 4.1 | | 4.8 | 4.7 | | 3.1 | 4.9 | | 5.1 | 3.5 | | 4.9 | 3.9 | | 5.3 | 3.7 | | 2.8 | 4.8 | | 4.2 | 5 | | 5.3 | | | 4.4 | | | 4.6 | | **Statistical Analysis:** - **F critical:** [Choose] - **F statistic:** [Choose] - **Reject null hypothesis? (Yes, No):** [Choose] **Note:** Fill in F critical, F statistic, and whether the null hypothesis is rejected based on your calculations.
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