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−x1d=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=0H0: μd=0 H1:μd≠0H1:μd≠0 Actress Age Actor Age 34 36 27 47 35 68 31 47 36 57 37 33 27 44 36 49 22 63 33 46 31 42 26 34 25 52 What is the critical value for this test? _________ (Round to three decimal places.) What is the test statistic for this sample? _________(Round to three decimal places.) What is the p-value?________ (Round to three decimal places.) Conclusion about the null: Conclusion about the claim:
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−x1d=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
H0: μd=0H0: μd=0
H1:μd≠0H1:μd≠0
| Actress Age | Actor Age |
|---|---|
| 34 | 36 |
| 27 | 47 |
| 35 | 68 |
| 31 | 47 |
| 36 | 57 |
| 37 | 33 |
| 27 | 44 |
| 36 | 49 |
| 22 | 63 |
| 33 | 46 |
| 31 | 42 |
| 26 | 34 |
| 25 | 52 |
What is the critical value for this test? _________ (Round to three decimal places.)
What is the test statistic for this sample? _________(Round to three decimal places.)
What is the p-value?________ (Round to three decimal places.)
Conclusion about the null:
Conclusion about the claim:
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