The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that position is a factor in starting salaries for new college graduates. at a = 0.05 given the following data Group 1: Internship Group 2: Co-op Group 3: Work Study 9.5 12.25 13.5 11.75 10.5 13.25 13.75 10.75 10.5 12 13 8.75 12.25 10 10.5 13.5 11.75 10.25 10 11 14.25 13.5 12 10 13 10.25 9.25 13.5 9 14.25 1. Your friend Kayla helped you with the null and alternative hypotheses... Ert = Trl = !nl :0H H1: At least two of the means differ from each other. 2. For this study, we should use (Select an answer ♥ 3. The test-statistic for this data = |(Please show your answer to 3 decimal places.) 4. The p-value for this sample = |(Please show your answer to 4 decimal places.) 5. The p-value is (Select an answer 6. Base on this, we should Select an answer 7. As such, the final conclusion is that... O There is insufficient evidence to support the claim that position is a factor in starting salaries for new college graduates. | hypothesis O There is sufficient evidence to support the claim that position is a factor in starting salaries for new college graduates.

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The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that position is a factor in starting salaries for new college graduates at \( \alpha = 0.05 \) given the following data.

**Table of Starting Hourly Wages (in dollars):**

|        | Internship | Co-op | Work Study |
|--------|------------|-------|------------|
| **1**  | 9.5        | 12.25 | 13.5       |
| **2**  | 11.75      | 10.5  | 13.25      |
| **3**  | 13.75      | 10.75 | 10.5       |
| **4**  | 12         | 13    | 8.75       |
| **5**  | 12.25      | 10    | 10.5       |
| **6**  | 13.5       | 10.25 | 10         |
| **7**  | 11.75      | 11    | 14.25      |
| **8**  | 13.5       | 12    |            |
| **9**  | 13         | 10.25 | 9.25       |
| **10** | 13.5       | 9     | 14.25      |

1. **Your friend Kayla helped you with the null and alternative hypotheses...**

   \[
   H_0: \mu_1 = \mu_2 = \mu_3
   \]

   \[
   H_1: \text{At least two of the means differ from each other.}
   \]

2. For this study, we should use [Select an answer].

3. The test-statistic for this data = (Please show your answer to 3 decimal places).

4. The p-value for this sample = (Please show your answer to 4 decimal places).

5. The p-value is [Select an answer] \( \alpha \).

6. Based on this, we should [Select an answer] hypothesis.

7. As such, the final conclusion is that...
   
   - There is insufficient evidence to support
Transcribed Image Text:The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that position is a factor in starting salaries for new college graduates at \( \alpha = 0.05 \) given the following data. **Table of Starting Hourly Wages (in dollars):** | | Internship | Co-op | Work Study | |--------|------------|-------|------------| | **1** | 9.5 | 12.25 | 13.5 | | **2** | 11.75 | 10.5 | 13.25 | | **3** | 13.75 | 10.75 | 10.5 | | **4** | 12 | 13 | 8.75 | | **5** | 12.25 | 10 | 10.5 | | **6** | 13.5 | 10.25 | 10 | | **7** | 11.75 | 11 | 14.25 | | **8** | 13.5 | 12 | | | **9** | 13 | 10.25 | 9.25 | | **10** | 13.5 | 9 | 14.25 | 1. **Your friend Kayla helped you with the null and alternative hypotheses...** \[ H_0: \mu_1 = \mu_2 = \mu_3 \] \[ H_1: \text{At least two of the means differ from each other.} \] 2. For this study, we should use [Select an answer]. 3. The test-statistic for this data = (Please show your answer to 3 decimal places). 4. The p-value for this sample = (Please show your answer to 4 decimal places). 5. The p-value is [Select an answer] \( \alpha \). 6. Based on this, we should [Select an answer] hypothesis. 7. As such, the final conclusion is that... - There is insufficient evidence to support
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