Is the average time to complete an obstacle course different 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. Time to Complete the Course Right 48 44 47 40 46 41 46 48 Left 45 42 45 36 45 35 44 45 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 The null and alternative hypotheses would be: `0:` `a:` 2. The test statistic = (please show your answer to 4 decimal places.) 3. The p-value = (Please show your answer to 4 decimal places.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Is the average time to complete an obstacle course different 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.
Time to Complete the Course
| Right | 48 | 44 | 47 | 40 | 46 | 41 | 46 | 48 |
|---|---|---|---|---|---|---|---|---|
| Left | 45 | 42 | 45 | 36 | 45 | 35 | 44 | 45 |
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
- The null and alternative hypotheses would be:
`0:`
`a:`
2. The test statistic = (please show your answer to 4 decimal places.)
3. The p-value = (Please show your answer to 4 decimal places.)
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