Is a statistics class' delivery type a factor in how well students do on the final exam? the average percent on final exams from several randomly selected classes that use types. Face-to-Face Hybrid Online 63 78 87 78 62 63 89 99 97 79 71 64 57 73 63 61 87 89 85 71 59 86 83 97

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Is a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types.

|     | Face-to-Face | Hybrid | Online |
|-----|--------------|--------|--------|
| 1   | 63           | 78     | 87     |
| 2   | 78           | 62     | 63     |
| 3   | 89           | 99     | 97     |
| 4   | 79           | 71     | 64     |
| 5   | 57           | 73     | 63     |
| 6   | 61           | 87     | 89     |
| 7   | 85           | 71     | 59     |
| 8   | 86           | 83     | 97     |
| 9   | 89           | 69     |        |

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 \( \alpha = 0.1 \).

**Hypotheses:**

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

**Steps:**

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.)
4. The p-value is [Select an answer] \( \alpha \)
5. Based on this, we should [Select an answer] hypothesis.
6. As such, the final conclusion is that...
    - There is sufficient evidence to support the claim that course delivery type is a factor in final exam score.
    - There is insufficient evidence to support the claim that course delivery type is a factor in final exam score.
Transcribed Image Text:Is a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types. | | Face-to-Face | Hybrid | Online | |-----|--------------|--------|--------| | 1 | 63 | 78 | 87 | | 2 | 78 | 62 | 63 | | 3 | 89 | 99 | 97 | | 4 | 79 | 71 | 64 | | 5 | 57 | 73 | 63 | | 6 | 61 | 87 | 89 | | 7 | 85 | 71 | 59 | | 8 | 86 | 83 | 97 | | 9 | 89 | 69 | | 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 \( \alpha = 0.1 \). **Hypotheses:** - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_1: \) At least two of the means differ from each other. **Steps:** 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.) 4. The p-value is [Select an answer] \( \alpha \) 5. Based on this, we should [Select an answer] hypothesis. 6. As such, the final conclusion is that... - There is sufficient evidence to support the claim that course delivery type is a factor in final exam score. - There is insufficient evidence to support the claim that course delivery type is a factor in final exam score.
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