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.

Alone	85	74	68	61	88	89	92	80
Classroom	88	74	67	63	94	99	99	81

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

For this study, we should use Select an answer t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion

1. The null and alternative hypotheses would be:

H0:H0: Select an answer 1 p1 d Select an answer = < > Select an answer 0 2 p2 (please enter a decimal)

H1:H1: Select an answer 1 d p1 Select an answer = < > Select an answer 2 0 p2 (Please enter a decimal)

1. The test statistic ? t z = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? >
4. Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
5. Thus, the final conclusion is that ...

• The results are statistically insignificant at = 0.10, so there is insufficient 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 = 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.
• The results are statistically significant at = 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 = 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.