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 mean of the comparison distribution?
The mean of the comparison distribution would be the same as the mean of the general population, which is 60.
To determine the mean of the comparison distribution, we will use the information given about the general population and the sample of new fathers.
First, let's understand the concept of the comparison distribution. In this case, it represents the distribution of mean scores we would expect to see if we randomly sampled 100 men from the general population and calculated the mean degree of affection for their fathers.
Given that the mean degree of affection for the general population is 60, we can use this as the starting point for the mean of the comparison distribution. However, since we expect new fathers to potentially score higher on the scale, we would expect the mean of the comparison distribution to be higher than 60.
To find the mean of the comparison distribution, we need to consider the sample mean of the new fathers. According to the information provided, the sample mean of the new fathers is 64.5. This indicates that, on average, the new fathers scored higher on the scale compared to the general population.
Therefore, the mean of the comparison distribution would be 64.5.