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Question

A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.Test at the .05 level of significance.

Answer 1

Set up your hypotheses:

 

H₀: μ = 30.6

 

H₁: μ ≠ 30.6

 

Use a t-test statistic with M = 39.5 and s= 6.6.

 

Don't forget degrees of freedom.

 

 

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Answer 2

You didn't really ask a question.  If you mean whether there is a difference, yes. A mean of 39.5 is a significantly higher rate of empathy for those bullied than the random sample.