What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use

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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.

Exam Scores

Alone 80 90 83 77 74 74 79 70
Classroom 83 94 79 75 71 70 77 72

Assume a Normal distribution.  What can be concluded at the the αα = 0.10 level of significance level of significance?

For this study, we should use       

  1. The null and alternative hypotheses would be:   
  2.   

 `H0:`                      

 `Ha:`                   

    1. The test statistic    Correct =  (please show your answer to 4 decimal places.)
 
  1. The p-value =  (Please show your answer to 4 decimal places.)
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