In a large group of young couples, the stan- dard deviation of the husbands' ages is four years, and that of the wives' ages is three years. Let D denote the age difference within a couple. Under what circumstances might you expect to find that the standard deviation of age differences in the group is about 5 years? Instead you find it to be 2 years. One possibility is that the discrepancy is the result of random variability. Give another explanation.

MATLAB: An Introduction with Applications
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In a large group of young couples, the stan-
dard deviation of the husbands' ages is four years, and that of the wives' ages is three
years. Let D denote the age difference within a couple.
Under what circumstances might you expect to find that the standard deviation of age
differences in the group is about 5 years?
Instead you find it to be 2 years. One possibility is that the discrepancy is the result of
random variability. Give another explanation.
Transcribed Image Text:In a large group of young couples, the stan- dard deviation of the husbands' ages is four years, and that of the wives' ages is three years. Let D denote the age difference within a couple. Under what circumstances might you expect to find that the standard deviation of age differences in the group is about 5 years? Instead you find it to be 2 years. One possibility is that the discrepancy is the result of random variability. Give another explanation.
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