Is the average time to complete an obstacle course longer 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 41 47 40 47 50 47 47 40 Left 42 46 38 44 47 44 47 42 Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance?
Is the average time to complete an obstacle course longer 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 | 41 | 47 | 40 | 47 | 50 | 47 | 47 | 40 |
|---|---|---|---|---|---|---|---|---|
| Left | 42 | 46 | 38 | 44 | 47 | 44 | 47 | 42 |
Assume a
For this study, we should use ["", "", "", "", ""]
a. The null and alternative hypotheses would be: Ho: ["", "", ""] ["", "", ""] ["", "", ""]
H1: ["", "", ""] ["", "", ""] ["", "", ""]
b. The test statistic ["", ""] = ["", "", ""] (correct to 3 decimal places)
c. The p-value = ["", "", ""] (correct to 4 decimal places)
d. We should ["", "", ""] the null hypothesis
e. What is the decision? ["", "", "", ""]
Step by step
Solved in 4 steps with 4 images
