- The male students at the national campus have a mean body fat index m
= 20.3 and a standard deviation s = 8.3. Consider the
distribution of the data to be normal.
- X ® Z ® Prob: Find the
probability that a male student at the national campus has a body fat index higher than 25
(obese).

P( x > 25) = ______________________

- If there are 400 men on the campus, how many are obese? ______________

- Prob ® Z ® X: Suppose I want to
test run a new exercise and diet program that might reduce obesity. I decide to test the
program on the most obese 20% of the men on the campus. What is the minimum body fat
index for entry into this new program?

P( x > ______________) = 0.20

- Toughie: the histogram depicts the actual distribution of the body fat data for the men
at the national campus. Note that the actual distribution is skewed right. Does this mean
your answer to 1a is an overestimate (too large) or an underestimate (too small)?

- X ® Z ® Prob: Find the
probability that a male student at the national campus has a body fat index higher than 25
(obese).

Calculate a z value from an x | z | ^{= } |
=STANDARDIZE(x, m, s) |

Calculate an x value from a z | x | = s z + m | = s*z+m |

Find a probability p from a z value | =NORMSDIST(z) | ||

Find a z value from a probability p | =NORMSINV(p) |