A social psychologist interested in relationships has developed a scale that mea

Question

A social psychologist interested in relationships has developed a scale that measures the degree of affection adult men feel for their father. She found that for the general population the distribution is skewed to the right, the mean degree of affection is 60, and the standard deviation is 16. She now is wondering if men who have themselves just become new fathers will score higher on the scale than men in general. She samples a group of 100 new fathers and finds that their mean is 64.5.
What is the mean of the comparison distribution?

Explanation / Answer

Using Central limit theorem it can be stated that the sampling distribution of sample mean is always normal with mean same as population mean mu and standard deviation sigma/root over n.

Thus the mean of the comparison distribution is also same as the population mean 60.

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