Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 69 68.4 64.3 64.3 73.5 74.4 73.5 88 62.7 85.5 Test grades are believed to be normally distributed. Use a significance level of 5%.

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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:

| Grades |
|--------|
| 69     |
| 68.4   |
| 64.3   |
| 64.3   |
| 73.5   |
| 74.4   |
| 73.5   |
| 88     |
| 62.7   |
| 85.5   |

Test grades are believed to be normally distributed.

Use a significance level of 5%.
Transcribed Image Text:Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: | Grades | |--------| | 69 | | 68.4 | | 64.3 | | 64.3 | | 73.5 | | 74.4 | | 73.5 | | 88 | | 62.7 | | 85.5 | Test grades are believed to be normally distributed. Use a significance level of 5%.
The image displays a section of a form related to hypothesis testing in statistics. Here is a transcription suitable for use on an educational website:

---

**D. State the test statistic:**

\[ t = \_\_\_\_ \]

**E. State the p-value:**

\[ \_\_\_\_ \]

**F. Decision:**

- ○ Reject the null hypothesis.
- ○ Do not reject the null hypothesis.

---

Explanation: The form includes blank fields where the test statistic (t-value) and the p-value are to be entered. In the decision section, there are radio buttons for options to either "Reject the null hypothesis" or "Do not reject the null hypothesis."
Transcribed Image Text:The image displays a section of a form related to hypothesis testing in statistics. Here is a transcription suitable for use on an educational website: --- **D. State the test statistic:** \[ t = \_\_\_\_ \] **E. State the p-value:** \[ \_\_\_\_ \] **F. Decision:** - ○ Reject the null hypothesis. - ○ Do not reject the null hypothesis. --- Explanation: The form includes blank fields where the test statistic (t-value) and the p-value are to be entered. In the decision section, there are radio buttons for options to either "Reject the null hypothesis" or "Do not reject the null hypothesis."
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