Does a woman's chance of suffering from postpartum depression vary depending on the number of children she already has? To find out, a researcher collected random samples from four groups of women: the first group having just given birth to their first child; the second group having just given birth to their second child; and so on. She then rated their amount of postpartum depression on a scale from 1 to 5 (with a score of "5" indicating a higher level of depression). Test the null hypothesis that the chances of developing postpartum depression do not differ with the number of children to which a woman has previously given birth. Assume α = 0.01.
First Child
Second Child
Third Child
Fourth Child
2
1
5
5
3
3
1
3
2
2
2
5
2
5
X-bar = 2.0
X-bar2 = 3.0
X-bar3 = 4.0
X-bar4 = 3.0
X-bar total = 3.0
State the null and research hypotheses.
b. State the level of significance.
State the formula for the test-statistic you will use (and df, if appropriate).
d. Calculate your critical test-statistic score.
Calculate your research test-statistic score.
Interpret your finding in the context of the problem: