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?
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.
256
know for sure the answer is 256
To find the variance of the questionnaire in the general population, we need to use the formula:
Variance = Standard Deviation^2
Given that the standard deviation is 16, we can calculate the variance:
Variance = 16^2 = 256
Therefore, the variance on this questionnaire in the general population is 256.