Do students perform better 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 81 90 99 79 71 78 83 81 Classroom 76 80 99 80 67 79 79 78 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of

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Do students perform better 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
81 90 99 79 71 78 83 81
Classroom 76 80 99 80 67 79 79 78
Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of
significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho:
H₁:
Select an answer
Select an answer ✓
Select an answer ✓ Select an answer ✓
b. The test statistic ? ✓
=
(please enter a decimal)
Select an answer ✓ (Please enter a decimal)
Select an answer
(please show your answer to 3 decimal places.)
c. The p-value
d. The p-value is ? ✓ a
e. Based on this, we should | Select an answer the null hypothesis.
f. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places.)
O The results are statistically insignificant at a = 0.01, so there is statistically significant
evidence to conclude that the population mean test score taking the exam alone is equal to
the population mean test score taking the exam in a classroom setting.
O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to
conclude that the population mean test score taking the exam alone is greater than the
population mean test score taking the exam in a classroom setting.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population mean test score taking the exam alone is greater than the population mean
test score taking the exam in a classroom setting.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the eight students scored higher on average taking the exam alone compared to the
classroom setting.
Transcribed Image Text:Do students perform better 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 81 90 99 79 71 78 83 81 Classroom 76 80 99 80 67 79 79 78 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: H₁: Select an answer Select an answer ✓ Select an answer ✓ Select an answer ✓ b. The test statistic ? ✓ = (please enter a decimal) Select an answer ✓ (Please enter a decimal) Select an answer (please show your answer to 3 decimal places.) c. The p-value d. The p-value is ? ✓ a e. Based on this, we should | Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean test score taking the exam alone is equal to the population mean test score taking the exam in a classroom setting. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean test score taking the exam alone is greater than the population mean test score taking the exam in a classroom setting. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is greater than the population mean test score taking the exam in a classroom setting. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the eight students scored higher on average taking the exam alone compared to the classroom setting.
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