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 89 80 83 78 80 83 79 88 Classroom |91 81 82 81 76 85 88 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: Select an answer v Select an answer |Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic |? v = (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 |? 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 insignificant at o - 0.01, 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. 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. 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 less than the population mean test score taking the exam in a classroom setting. The results are statistically significant at a - 0.01, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting. Paired t-test Calculator O