Do students perform better when they take an exam alone than 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 andthey took the other in a room filled with other students. The results are shown below.Exam ScoresAlone81 90 99 79 71 78 83 81Classroom 76 80 99 80 67 79 79 78Assume 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:H₁:Select an answerSelect an answer ✓Select an answer ✓ Select an answer ✓b. The test statistic ? ✓=(please enter a decimal)Select an answer ✓ (Please enter a decimal)Select an answer(please show your answer to 3 decimal places.)c. The p-valued. 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 4 decimal places.)O The results are statistically insignificant at a = 0.01, so there is statistically significantevidence to conclude that the population mean test score taking the exam alone is equal tothe population mean test score taking the exam in a classroom setting.O The results are statistically insignificant at a = 0.01, so there is insufficient evidence toconclude that the population mean test score taking the exam alone is greater than thepopulation mean test score taking the exam in a classroom setting.O 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 greater than the population meantest score taking the exam in a classroom setting.O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the eight students scored higher on average taking the exam alone compared to theclassroom setting.

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Accepted Answer

by bartleby policy i can gives only 3 subparts at a time 
From given data we have :

Alone…