Posted by qwen on Sunday, September 20, 2009 at 9:44am.
A researcher interested in relationships developed a questionnaire that measures the degree of affection adult men feel for their fathers. She has 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. The researcher now is wondering if men who themselves have 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 variance on this questionnaire in the general population?

statistics  PsyDAG, Sunday, September 20, 2009 at 2:22pm
If you are dealing with a skewed distribution, you cannot find the variance with the same degree of accuracy. The standard deviation (square root of the variance) will not cut off the same proportions as on the normal distribution. You cannot treat it the same way as a normal distribution. How extreme is the skew?
Just so we are using the same terms, skewed right means there are predominantly low scores with relatively few high scores.
Sorry that I cannot help more. Thanks for asking.

statistics  Anonymous, Saturday, July 24, 2010 at 10:38pm
256

statistics  dee, Thursday, September 9, 2010 at 11:43pm
know for sure the answer is 256
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