9. A researcher is looking at the distribution of well-being on a 120 point scale that is approximately normally distributed. The mean is 50. The standard deviation is 15. Use the Z score table in your text to answer the following questions.

a. What is the z score for a well-being value of 70? Show all work.

b. What percentage of the distribution is between 30 and 85 points? Show all work

c. What percentage of the distribution has a value of 85 or above? Show all work.

d. For c. (above), if n=1500, how many respondents score above 85? Show all work.

e. What score corresponds to the 55th percentile?