Do students perform the same when they take an exam alone as when they take an exam in a classroomsetting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and theytook the other in a room filled with other students. The results are shown below.Exam ScoresAlone 79 70 83 80 82 75 74 75Classroom 82 84 93 -86 86 78 81 90Assume a Normal distribution. What can be concluded at the the a= 0.01 level of significance level ofsignificance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: Select an answerH₁ Select an answerSelect an answer OSelect an answerSelect an answerSelect an answer(please enter a decimal)(Please enter a decimal)b. The test statistic ? Cc. The p-value =d. The p-value is ? ae. Based on this, we should Select an answer the null hypothesis.f. Thus, the final conclusion is that ...(please show your answer to 3 decimal places.)Hint: Helpful Video [+]Hints(Please show your answer to 4 decimal places.)O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to concludethat the population mean test score taking the exam alone is not the same as the populationmean test score taking the exam in a classroom setting.O The results are statistically insignificant at a = 0.01, so there is statistically significant evidenceto conclude that the population mean test score taking the exam alone is equal to the populationmean test score taking the exam in a classroom setting.The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the eight students scored the same on average taking the exam alone compared to theclassroom setting.The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the population mean test score taking the exam alone is not the same as the populationmean test score taking the exam in a classroom setting.

The question is about hypothesis testing.Given :No. of students selected ( n ) = 8To find :Test that…

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 79 70 83 80 82 75 74 75 82 84 93 -86 86 78 81 90 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 H₁: Select an answer Alone Classroom Select an answer O Select an answer O b. The test statistic ? C = Select an answer Select an answer (please enter a decimal) (Please enter a decimal) O (please show your answer to 3 decimal places.) (Please show your answer to 4 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 ... 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 not the same as the population mean test score taking the exam in a classroom setting. O The results are statistically insignificant at a = 0.01, 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 eight students scored the same on average taking the exam alone compared to the 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 not the same as the population mean test score taking the exam in a classroom setting.