Question

8. Using Minitab to illustrate the Central Limit Theorem (CLT), the CLT tells us about the sampling distribution of the sample mean. With Minitab we can easily "sample" from a population with known properties (4,0 , shape). a. Our population consists of integer values X from 1 through 8, all equally likely P(x) = 1/8; x = 1, 2, 3, 4, 5, 6, 7, 8 o = 2.29 Using methods from the beginning of Chapter 4 in the textbook, find u. Use your calculator to find u.

Answer 1

The population tells us that the values X follows discrete uniform distribution.

It is given by

P(x) = 1/m ; x=1,2,.....,m

E(x) = mu = (m+1)/2

Therefore, mu for the given problem is

mu = (m+1)/2

= 9/2

=4.5

Therefore, mu for given integer values of X from population is 4.5