1.) On an intelligence test, the mean number of raw items correct is 233 and the standard deviation is 43. What are the raw (actual) scores on the test for people with IQs of (a)120,(b)87,and (c) 100?

first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15.

2. Suppose the people living in a city have a mean score of 45 and a standard deviation of 5 on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the 50% 34% 14% figures, approximately what percentage of people have a score

(a) above 45, (b) above

50, (c) above

35, (d) above

40, (e) below

45, (f) below

50, (g) below

35, and (h) below

40?

3.)Suppose the people living in a city have a mean score of

40 and a standard deviation of 8 on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the 50% 34% 14% figures, what is the minimum score a person has to have to be in the top (a) 2%, (b) 16%, (c) 50%, (d) 84%, and (e) 98%?

4.) On a measure of anxiety, the mean is 80

and the standard deviation is 10. What are the Z scores for each of the following raw scores? (a)100 and (b)45.

5.) A survey is conducted at a college with 800

students, 100 faculty members, and 50 administrators. Each of these 950 individuals has a single email address listed in the online campus directory. Suppose one email address was selected at random. What is the probability it would be (a) a student, (b) a faculty member, (c) an administrator, (d) a faculty member or administrator, and (e) anyone except an administrator? (f) Explain your answers to someone who has never had a course in statistics.