Mathematics

1. Graduate Record Exam scores for the psychology exam have a mean of 592 and a standard deviation of 1

a) what proportion of the test takers would have scored a 650 or above?

b)what proportion of the test takers would have scored a 700 or above?

c) what proportion of the test takers would have scored between 650 and 700?

d) if 10,000 individuals took the exam, how many would be expected to have scored 750 or above?

e) in working these problems, you begin with an assumption about the distribution of GRE psychology scores. What is the assumption?

2. Research data indicate that adolescents especially adolescent girls, experience a drop in self-esteem. To evaluate this result, a researcher obtains a sample of n=9 adolescent girls, all 13 years old. A self-esteem test is given to each participant and the average score for the sample is M=66. It is known that the distribution of self-esteem scores for the population of pee-teen girls is normal with u=75.Â

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