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2 answers:
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Answer:
Wife' s IQ = 100
0.2% are smarter than their wives.
Step-by-step explanation:
We are given the following information in the question:
Husband:
Mean = 105
SD = 15
Wife:
Mean = 110
SD = 10
Correlation between husband's and wife's IQ = 0.5
a) Let the husbands be represented by X and wives by Y.
Man's IQ = 75
Standardizing the scores, we get:
Formula:
We know that if we standardize our scores then:
Putting value, we get:
So,
b) Standard deviation of IQ's of wives married to husbands with IQ of 75 is:
We know that a husband of an IQ 75 will have a wife of a mean IQ of 100. So for a man to be smarter than his wife she should have IQ less than 75.