An instructor wanted to know if his students are better at math or writing. He had students take both a math and then a writing test and he compared the results using SPSS. He found the following results:

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**Educational Context Transcription and Analysis:**

An instructor sought to determine if students performed better in math or writing. Students completed both math and writing tests, and the results were compared using SPSS statistical software.

**Paired Samples Statistics:**

|                | Mean   | N   | Std. Deviation | Std. Error Mean |
|----------------|--------|-----|----------------|-----------------|
| Write Writing Score | 52.7750 | 200 | 9.47859       | 0.67024         |
| Read Reading Score  | 52.2300 | 200 | 10.25294      | 0.72499         |

**Paired Samples Correlations:**

|                | N   | Correlation | Sig.         |
|----------------|-----|-------------|--------------|
| Write & Read   | 200 | 0.597       | 0.000        |

**Paired Samples Test:**

|                | Mean   | Std. Deviation | Std. Error Mean | 95% Confidence Interval | t     | df  | Sig. (2-tailed) |
|----------------|--------|----------------|-----------------|-------------------------|-------|-----|----------------|
| Write - Read   | 0.54500| 8.88667        | 0.62838         | Lower: -0.69414         | 0.867 | 199 | 0.387          |
|                |        |                |                 | Upper: 1.78414          |       |     |                |

**Analysis Questions:**

a. **What test was done?**

   - A paired samples t-test was conducted to compare writing and reading scores.

b. **Report results in APA style.**

   - A paired t-test showed no significant difference between writing scores (M = 52.78, SD = 9.48) and reading scores (M = 52.23, SD = 10.25), t(199) = 0.87, p = 0.387.

c. **Are the results significant?**

   - No, the results are not significant, as the p-value (0.387) is greater than the typical alpha level of 0.05.

d. **What do the results mean?**

   - The results suggest there is no statistically significant difference between students' performance on the writing and reading tests, indicating similar
Transcribed Image Text:**Educational Context Transcription and Analysis:** An instructor sought to determine if students performed better in math or writing. Students completed both math and writing tests, and the results were compared using SPSS statistical software. **Paired Samples Statistics:** | | Mean | N | Std. Deviation | Std. Error Mean | |----------------|--------|-----|----------------|-----------------| | Write Writing Score | 52.7750 | 200 | 9.47859 | 0.67024 | | Read Reading Score | 52.2300 | 200 | 10.25294 | 0.72499 | **Paired Samples Correlations:** | | N | Correlation | Sig. | |----------------|-----|-------------|--------------| | Write & Read | 200 | 0.597 | 0.000 | **Paired Samples Test:** | | Mean | Std. Deviation | Std. Error Mean | 95% Confidence Interval | t | df | Sig. (2-tailed) | |----------------|--------|----------------|-----------------|-------------------------|-------|-----|----------------| | Write - Read | 0.54500| 8.88667 | 0.62838 | Lower: -0.69414 | 0.867 | 199 | 0.387 | | | | | | Upper: 1.78414 | | | | **Analysis Questions:** a. **What test was done?** - A paired samples t-test was conducted to compare writing and reading scores. b. **Report results in APA style.** - A paired t-test showed no significant difference between writing scores (M = 52.78, SD = 9.48) and reading scores (M = 52.23, SD = 10.25), t(199) = 0.87, p = 0.387. c. **Are the results significant?** - No, the results are not significant, as the p-value (0.387) is greater than the typical alpha level of 0.05. d. **What do the results mean?** - The results suggest there is no statistically significant difference between students' performance on the writing and reading tests, indicating similar
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