Six months after a divorce, the former wife and husband each take a test that measures divorce adjustment. The wife’s score is 63, and the husband’s score is 59. Overall, the mean score for divorced women on this test is 60 (SD = 6), the mean score for divorced men is 55 (SD = 4). Which of the two has adjusted better to the divorce in relation to other divorced people of the same gender? Explain your answer to a person who has never had a course in statistics.
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Answer:
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Given : The wife’s score is 63, and the husband’s score is 59.
Overall, the mean score for divorced women on this test is 60 (SD = 6), the mean score for divorced men is 55 (SD = 4).
To Find : Which of the two has adjusted better to the divorce in relation to other divorced people of the same gender
Solution:
z score = ( value - Mean)/SD
SD = Standard Deviation
For z score (tables are attached )
The wife’s score is 63,
mean score for divorced women on this test is 60
SD = 6
Z score of Wife = ( 63 - 60)/6 =3/6 = 0.5
She is better than 69 % people
husband’s score is 59
mean score for divorced men is 55
SD = 4
Z score of Husband = ( 59 - 55)/4 =4/4 = 1
He is better than 84 % people
As Husband is better than 84 % people and Wife is better than 69% people
Hence Husband has adjusted better than Wife to the divorce in relation to other divorced people of the same gender
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