A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey. Local FOX CNN 21 46 52 38 66 53 16 15 56 33 63 64 28 60 27 30 52 52 30 47 27 49 37 63 16 58 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.05. Ert = T = Ird :0H H: At least two of the means differ from each other. 1. For this study, we should use Select an answer 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.)

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### Study on the Effect of News Station on Viewing Time

A researcher aims to determine whether the choice of news station affects the amount of time (in minutes) that people watch. The table below displays data collected from a survey:

| Local | FOX | CNN |
|-------|-----|-----|
| 21    | 46  | 52  |
| 38    | 66  | 53  |
| 16    | 15  | 56  |
| 33    | 63  | 64  |
| 28    | 60  | 27  |
| 30    | 52  | 52  |
| 30    | 47  | 27  |
| 49    | 37  | 63  |
| 16    | 58  |     |

Assume that all distributions are normal, the three population standard deviations are equal, and the data was collected independently and randomly. Use a significance level of \( \alpha = 0.05 \).

**Hypotheses:**

- Null Hypothesis (\(H_0\)): \( \mu_1 = \mu_2 = \mu_3 \)
- Alternative Hypothesis (\(H_1\)): At least two of the means differ from each other.

**Procedure:**
1. For this study, we should use [Select an answer] (Note: This typically refers to an ANOVA test but requires user selection).
2. The test-statistic for this data = (Please show your answer to 3 decimal places).
3. The p-value for this sample = (Please show your answer to 4 decimal places).
4. The p-value is [Select an answer] α.
5. Based on this, we should [Select an answer] hypothesis.
6. As such, the final conclusion is that:
   - [ ] There is insufficient evidence to support the claim that station is a factor in the amount of time people watch the news.
   - [ ] There is sufficient evidence to support the claim that station is a factor in the amount of time people watch the news.

**Instructions for Statistical Analysis:**
- Select the appropriate statistical test (likely ANOVA) to compare means.
- Compute the test-statistic and p-value based on the provided data.
- Determine whether to reject or fail to reject the null hypothesis by comparing the p-value to the significance level (\( \
Transcribed Image Text:### Study on the Effect of News Station on Viewing Time A researcher aims to determine whether the choice of news station affects the amount of time (in minutes) that people watch. The table below displays data collected from a survey: | Local | FOX | CNN | |-------|-----|-----| | 21 | 46 | 52 | | 38 | 66 | 53 | | 16 | 15 | 56 | | 33 | 63 | 64 | | 28 | 60 | 27 | | 30 | 52 | 52 | | 30 | 47 | 27 | | 49 | 37 | 63 | | 16 | 58 | | Assume that all distributions are normal, the three population standard deviations are equal, and the data was collected independently and randomly. Use a significance level of \( \alpha = 0.05 \). **Hypotheses:** - Null Hypothesis (\(H_0\)): \( \mu_1 = \mu_2 = \mu_3 \) - Alternative Hypothesis (\(H_1\)): At least two of the means differ from each other. **Procedure:** 1. For this study, we should use [Select an answer] (Note: This typically refers to an ANOVA test but requires user selection). 2. The test-statistic for this data = (Please show your answer to 3 decimal places). 3. The p-value for this sample = (Please show your answer to 4 decimal places). 4. The p-value is [Select an answer] α. 5. Based on this, we should [Select an answer] hypothesis. 6. As such, the final conclusion is that: - [ ] There is insufficient evidence to support the claim that station is a factor in the amount of time people watch the news. - [ ] There is sufficient evidence to support the claim that station is a factor in the amount of time people watch the news. **Instructions for Statistical Analysis:** - Select the appropriate statistical test (likely ANOVA) to compare means. - Compute the test-statistic and p-value based on the provided data. - Determine whether to reject or fail to reject the null hypothesis by comparing the p-value to the significance level (\( \
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