Week11 practice 2

Sampling and statistics

We will work in pairs.

Generators: We shall perform sampling from two random distribution the normal distribution and a uniform distribution over some range $[a,b]$.

For a normal distribution, choose the mean $\mu$ and its s.d. $\sigma$. For a uniform distribution, choose a and b. (Don't forget to take note of the actual distribution that you use so that you can tell your statisticians the correct answers.)

Generate 10 sets of data:

• For a normal distribution (with different parameters), generate samples of size $n=5,10,50,100,500$. We shall call these sets of data set 1, set 2,..., and set 5.
• For a uniform distribution (with different parameters), generate samples of size $n=5,10,50,100,500$. We shall call these sets of data set 6, set 7, ..., and set 10.

Statisticians: Take your friend's generated data, and for each set of data compute the sample mean ${\bar {X}}$ and the sample variance $S^{2}$.