Q1.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. Alone 75 82 76 83 89 86 80 79 Classroom 81 82 79 83 90 83 76 79 Assume a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? Find The t-test statistic?
Q1.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.
| Alone | 75 | 82 | 76 | 83 | 89 | 86 | 80 | 79 |
|---|---|---|---|---|---|---|---|---|
| Classroom | 81 | 82 | 79 | 83 | 90 | 83 | 76 | 79 |
Assume a
Q2.
Is the average time to complete an obstacle course shorter when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye.
| Right | 44 | 44 | 43 | 47 | 43 | 45 | 46 | 48 |
|---|---|---|---|---|---|---|---|---|
| Left | 43 | 46 | 47 | 51 | 46 | 43 | 50 | 50 |
Assume a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? Find the t-test statistics
Since there are 2 different questions, I solved Q1 as per Bartleby rules.
Please repost the Q2 as next question.
There are two independent samples which are Alone and Classroom.
We have to test whether students perform worse when they take an exam alone than when they take an exam in a classroom setting or not.
This is Matched Pairs t-test.
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