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 student perform same when they take exam alone as when they take exam in a classroom.a )For this study, need to use t test for difference between two dependent population means.Null and alternative hypothesis :Research statement : Student perform same in " alone " and in a " classroom".The word " same " indicates = sign, so it would go under null hypothesis.Hence,b )The formula is given byPlugging values in the above formulaec )p value approach :Since the alternative hypothesis has ≠ sign, so it is a two tailed test.Using excel command, So,d and e )Decision rule :i ) Reject H0 if ii ) Fail to reject H0 if Given : Here, Hence, reject H0f )Conclusion :The results are statistically significant. There is sufficient evidence to conclude that the population mean of test score taking exam alone is not the same as population mean of test score taking exam in a classroom.Answer : Option 4a )For this study, need to use t test for difference between two dependent population means.Null and alternative hypothesis :b ) Test statistic : t = -4.592c ) p value = 0.0025d ) e ) Decision : Reject H0f )Conclusion :The results are statistically significant. There is sufficient evidence to conclude that the population mean of test score taking exam alone is not the same as population mean of test score taking exam in a classroom.Answer : Option 4

Math

Statistics

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.