Do students perform the same when they take an exam alone as 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 75 81 78 80 74 84 84 89 Classroom 82 83 84 77 84 91 93 99 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of Hanificanco

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Do students perform the same when they take an exam alone as 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
75 81 78 80 || 74 || 84 84 89
Classroom 82 | 83 || 84 7784 91 93 99
Assume a Normal distribution. What can be concluded at the the a 0.10 level of significance level of
significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho:
HA Select an answer
Select an answer vSelect an answer V(please enter a decimal)
H Select an answer
Select an answer Y
Select an answer V (Please enter a decimal)
b. The test statistic 7v
(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 2 v a
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean test score taking the exam alone is not the same as the population
mean test score taking the exam in a classroom setting.
O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to
conclude that the population mean test score taking the exam alone is not the same as the
population mean test score taking the exam in a classroom setting.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the eight students scored the same on average taking the exam alone compared to the
classroom setting.
The results are statistically insignificant at a = 0.10, 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.
Transcribed Image Text:Do students perform the same when they take an exam alone as 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 75 81 78 80 || 74 || 84 84 89 Classroom 82 | 83 || 84 7784 91 93 99 Assume a Normal distribution. What can be concluded at the the a 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: HA Select an answer Select an answer vSelect an answer V(please enter a decimal) H Select an answer Select an answer Y Select an answer V (Please enter a decimal) b. The test statistic 7v (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 2 v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is not the same as the population mean test score taking the exam in a classroom setting. O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean test score taking the exam alone is not the same as the population mean test score taking the exam in a classroom setting. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the eight students scored the same on average taking the exam alone compared to the classroom setting. The results are statistically insignificant at a = 0.10, 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.
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