1. Bone Density Test A bone mineral density test is used to
identify a bone disease. The result of a
bone density test is commonly measured as a z score, and the
population of z scores is normally
distributed with a mean of 0 and a standard deviation of
1.
a. For a randomly selected subject, find the probability of a
bone density test score less than 1.54.
b. For a randomly selected subject, find the probability of a
bone density test score greater than
-1.54.
c. For a randomly selected subject, find the probability of a
bone density test score between -1.33
and 2.33.
d. Find Q1, the bone density test score separating the bottom
25% from the top 75%.
e. If the mean bone density test score is found for 9 randomly
selected subjects, find the probability
that the mean is greater than 0.50.