Question

Week 3 Discussion - The Empirical Distribution, the Normal Distribution and the Central Limit Theorem.

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Question 1: How is the empirical distribution related to the normal distribution?

Question 2: How is the normal distribution related to the standard normal distribution?

Question 3: What is the importance of the Central Limit Theorem?

To answer these questions, consider a bi-modal distribution. What would be the distributions of the sample mean?

Optional Information: Additional practice for computing normal value can be found using the following links

Using the following online calculator:http://onlinestatbook.com/2/calculators/normal_dist.html(Links to an external site.)

(Links to an external site.)

Compute P(z>2),P(z<1) and P(-1

Using the following on line calculator:http://onlinestatbook.com/2/calculators/normal_dist.html(Links to an external site.)

Compute P(z>400),P(600<1) and P(400

Using the following on line calculator:http://onlinestatbook.com/2/calculators/inverse_normal_dist.html(Links to an external site.)

and=500and=100

, compute the the 90th percentile hit the area is 0.9