Question 1 For a population with = 50 and = 5, compute the z-score corresponding to each of the following X values. a. X = 52 b. X = 60 c. X = 49

Question 2 A population of scores with = 40 and = 2 is standardized to create a new distribution with = 100 and = 4. What is the new value for each of the following scores from the original population? Scores: 36, 41, 38. Round to two decimal places, if needed. a. X = 36 b. X = 41 c. X = 38

Question 3 For a normal distribution with a mean of = 100 and a standard deviation of = 10, find each of the following proportions. Round to four decimal places, if needed. a. Proportion of scores greater than X = 112.5 b. Proportion of scores greater than X = 120 c. Proportion of scores less than X = 85

Question 4 A sample of n = 25 scores is selected from a normal population with = 71 and = 10. Round to four decimal places, if needed. a. What is the probability that the sample mean will be greater than 72? b. What is the probability that the sample mean will be less than 67? c. What is the probability that the sample mean will be greater than 76?

Question 5 What does a z-score of -2 indicate with respect to the mean?