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?
To find the variance of the questionnaire in the general population, we need to use the standard deviation that was given. The variance is the square of the standard deviation.
Given:
Mean (μ) = 60
Standard Deviation (σ) = 16
Variance = σ^2
Therefore, the variance can be found by squaring the standard deviation:
Variance = 16^2 = 256
So, the variance of the questionnaire in the general population is 256.
To calculate the variance on the questionnaire in the general population, we can use the formula for variance:
Variance = Standard Deviation^2
Given that the standard deviation is 16, we can substitute the value into the formula:
Variance = 16^2 = 256
Therefore, the variance on this questionnaire in the general population is 256.