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.

Alone	75	82	89	82	89	74	82	83
Classroom	79	81	87	73	88	68	80	85

Assume a Normal distribution. What can be concluded at the the = 0.01 level of significance level of significance?

For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two independent population means t-test for a population mean 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 d p1 Select an answer < = > Select an answer p2 2 0 (please enter a decimal)

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

1. The test statistic ? z t = (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 fail to reject accept reject the null hypothesis.
5. Thus, the final conclusion is that ...

• The results are statistically insignificant at = 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.
• The results are statistically significant at = 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.
• The results are statistically significant at = 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.
• The results are statistically insignificant at = 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.