A professor randomly selects a sample of 16 students to attend additional statistics tutoring sessions for the duration of the course. At the end of the semester, the students take a nationally standardized test of statistics knowledge. Their scores average 26 with SS = 960. The population mean on that normally distributed test is u = 20. Do the data support the conclusion that the tutoring has a significant effect? Use a = .05 and show all 5 steps. If significant, how large is the effect? Step 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample

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A professor randomly selects a sample of 16 students to attend additional statistics tutoring sessions for the duration of the course. At the end of the semester, the students take a nationally standardized test of statistics knowledge. Their scores average 26 with SS = 960. The population mean on that normally distributed test is μ = 20. Do the data support the conclusion that the tutoring has a significant effect? Use α = .05 and show all 5 steps. If significant, how large is the effect?

Step 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample?
Transcribed Image Text:A professor randomly selects a sample of 16 students to attend additional statistics tutoring sessions for the duration of the course. At the end of the semester, the students take a nationally standardized test of statistics knowledge. Their scores average 26 with SS = 960. The population mean on that normally distributed test is μ = 20. Do the data support the conclusion that the tutoring has a significant effect? Use α = .05 and show all 5 steps. If significant, how large is the effect? Step 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample?
**Step 2**: Which of the following represents the critical region for this mentioned sample?

- ○ \( t = -2.13 \)
- ○ \( t = 2.13 \)
- ○ \( t = \pm 2.13 \)
- ○ \( t = \pm 0.05 \)

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**QUESTION 42**

Compute the test statistic (t-observed) for the mentioned sample.
Transcribed Image Text:**Step 2**: Which of the following represents the critical region for this mentioned sample? - ○ \( t = -2.13 \) - ○ \( t = 2.13 \) - ○ \( t = \pm 2.13 \) - ○ \( t = \pm 0.05 \) --- **QUESTION 42** Compute the test statistic (t-observed) for the mentioned sample.
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