1. CLT Problem
The percent of calories from fat that a person in the United States consumes has a mean of about 36 and a standard deviation of 10. Suppose that sixteen (16) individuals are randomly chosen.
Let = the average percent of calories from fat
mean for the averages = 36
standard deviation for the averages =
n = 16

2. CLT Problem
For a group of 16 people, find the probability that the average percent of calories from fat consumed is more than 30.
Probability Statement: P(X-bar > 30) =
Calculator steps:
2nd,DISTR,normalcdf(30,1E99,36,10/sqrt(16)),Enter

3. CLT Problem
Find the probability that the average percent of calories a person consumes from fat is between 30 and 40.
Probability Statement: P(30 < X-bar < 40) =
Calculator steps:
2nd,DISTR,normalcdf(30,40,36,10/sqrt(16)),Enter

4. CLT Problem
Find the first quartile for the average percent of calories from fat. Let k = the first quartile (25th %ile)
Probability Statement: P(X-bar < k) = 0.25
Calculator steps:
2nd,DISTR,invNormf(0.25,36,10/sqrt(16)),Enter