1 Using SAS Generate 225 samples of size 625 random numbers

1. Using SAS, Generate 225 samples of size 625 random numbers from U(10,22). For each of these 225 samples calculate the mean.

a) Find the simulated probability that the mean is between 10 and 11.

b) Find the mean of the means.

c) Find the standard deviation of the means.

d) Draw the histogram of the means.

2. Generate 225 samples of size 625 random numbers from an Exponential distribution with lambda = 0.1. For each of these 225 samples calculate the mean.

a) Find the simulated probability that the mean is between 9 and 11.

b) Find the simulated mean of the means.

c) Find the simulated standard deviation of the means.

d) Draw the histogram of the means.

Solution