Question 1

Consider examining the ages of a random sample of married couples in order to study whether husbands tend to be older than their wives on average.
-Create a hypothetical example of ten couples' ages so that the husband is older in only five of the ten couples, but the paired $t$-test is statistically significant in showing that husbands tend to be older than their wives on average. (You do not need to give individual ages of husbands and wives; you need only report the ten age differences (husband's age minus wife's age). You do not need to calculate the test statistic and $p$-value; simply try to create the age differences so the test would be significant if you were to work it out.) Explain your reasoning.

Accepted Answer

The answer of Consider examining the ages of a random...

Question 2

Consider examining the ages of a random sample of married couples in order to study whether husbands tend to be older than their wives on average.
-Create a hypothetical example of ten couples' ages so that the husband is older for eight of the ten couples, but the paired $t$-test is not statistically significant in showing that husbands tend to be older than their wives on average. (Again you need only report the ten age differences, and you do not need to determine the test statistic and $p$-value.) Explain your reasoning.

Accepted Answer

The answer of Consider examining the ages of a random...

Quiz 5: Inference From Data: Comparisons