A psychologist was interested in whether eccentric students scored above or below the mean grade point average (GPA) at a high school. She figured the average GPA at the school to be 2.55 with a standard deviation of .5 and noted that the distribution was approximately normal. She then figured the average GPA for 15 students regarded as eccentric by their classmates. Their mean GPA was 2.76.

Use the 5 steps of hypothesis testing at the.01 significance level.

Assuming you have already stated step 1, what is the standard deviation of the comparison distribution (do not round off during your calculations but round offanswerto3 decimalpoints)?

In the example above, determine step 3: What is the cutoff sample score?

In the example above, determine step 4 (as usual, round off to2 decimal points)