Let's now perform a mean-matched pairs test to test the claim that there is no mean difference between the age of males and females. For the context of this problem, d=x2−x1 where the first data set represents actress (female) ages and the second data set represents male (actor) ages. We'll continue to use a significance of 0.1. You believe the population of difference scores is normally distributed, but you do
Let's now perform a mean-matched pairs test to test the claim that there is no mean difference between the age of males and females. For the context of this problem, d=x2−x1 where the first data set represents actress (female) ages and the second data set represents male (actor) ages. We'll continue to use a significance of 0.1. You believe the population of difference scores is normally distributed, but you do not know the standard deviation.
H0: μd=0
H1:μd≠0
| Actress Age | Actor Age |
|---|---|
| 33 | 56 |
| 32 | 31 |
| 32 | 48 |
| 37 | 39 |
| 24 | 38 |
| 27 | 40 |
| 28 | 45 |
| 34 | 37 |
| 31 | 37 |
| 37 | 63 |
| 28 | 30 |
| 22 | 57 |
| 38 | 56 |
What is the critical value for this test? t=± (Round to three decimal places.)
What is the test statistic for this sample? t= (Round to three decimal places.)
What is the p-value? (Round to three decimal places.)
Conclusion about the null:
Conclusion about the claim:
How were these two tests similar in what they were testing? Note, I'm not asking about the results of the test.
How were these two tests different in what they were testing? Again, I'm not asking about the results or the process to get to those results, but I want you to look at what you were actually testing.
*Please answer all they are subparts of the same quesitons+
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