MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Transcription of Educational Website Content:**

---

**Do students perform worse when they take an exam alone than when they take an exam in a classroom setting?** Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below.

**Exam Scores**

|        | Alone | Classroom |
|--------|-------|-----------|
| Student 1 | 73    | 78        |
| Student 2 | 73    | 76        |
| Student 3 | 87    | 93        |
| Student 4 | 72    | 72        |
| Student 5 | 74    | 81        |
| Student 6 | 76    | 84        |
| Student 7 | 85    | 83        |
| Student 8 | 80    | 85        |

Assume a Normal distribution. What can be concluded at the α = 0.10 level of significance?

For this study, we should use [Select an answer]

a. The null and alternative hypotheses would be:

- \(H_0:\) [Select an answer] [Select an answer] [Select an answer] [please enter a decimal]

- \(H_1:\) [Select an answer] [Select an answer] [Select an answer] [please enter a decimal]

b. The test statistic \(t =\) [ ? ] = ______ (please show your answer to 3 decimal places)

c. The p-value = ________ (Please show your answer to 4 decimal places)

d. The p-value is [ ? ] [ < or > ] α

e. Based on this, we should [Select an answer] the null hypothesis.

f. Thus, the final conclusion is that …

- ( ) The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting.

- ( ) The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting.

- ( ) The results are statistically insignificant at α = 0.10, so there is insufficient evidence to conclude that the population mean test score taking
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Transcribed Image Text:**Transcription of Educational Website Content:** --- **Do students perform worse when they take an exam alone than when they take an exam in a classroom setting?** Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below. **Exam Scores** | | Alone | Classroom | |--------|-------|-----------| | Student 1 | 73 | 78 | | Student 2 | 73 | 76 | | Student 3 | 87 | 93 | | Student 4 | 72 | 72 | | Student 5 | 74 | 81 | | Student 6 | 76 | 84 | | Student 7 | 85 | 83 | | Student 8 | 80 | 85 | Assume a Normal distribution. What can be concluded at the α = 0.10 level of significance? For this study, we should use [Select an answer] a. The null and alternative hypotheses would be: - \(H_0:\) [Select an answer] [Select an answer] [Select an answer] [please enter a decimal] - \(H_1:\) [Select an answer] [Select an answer] [Select an answer] [please enter a decimal] b. The test statistic \(t =\) [ ? ] = ______ (please show your answer to 3 decimal places) c. The p-value = ________ (Please show your answer to 4 decimal places) d. The p-value is [ ? ] [ < or > ] α e. Based on this, we should [Select an answer] the null hypothesis. f. Thus, the final conclusion is that … - ( ) The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting. - ( ) The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting. - ( ) The results are statistically insignificant at α = 0.10, so there is insufficient evidence to conclude that the population mean test score taking
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