In: Statistics and Probability
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 sample mean of 39.5 and a sample standard deviation of 6.6.
Test at the .05 level of significance.
Set up the criteria for making a decision. That is, find the critical value using an
alpha = .05. (Make sure you are sign specific: + ; - ; or ± )
Let X be the score of empathy.
In a random sample of 25 scores sample mean 39.5 and a sample standard deviation s= 6.6.
At 5% level of significance we want to test the psychologist claim that the adults who were bullied as children differ from the general population in terms of their empathy for others.
The mean score of general population is 30.6
The null and alternative hypotheses are:
Therefore we have enough evidence to support the psychologist claim that the adults who were bullied as children differ from the general population in terms of their empathy for others.