What are the characteristics of the normal curve?

Question 1: Please discuss the following;

• What are the characteristics of the normal curve?
• How does a normal curve differ from a standard normal curve?

 

Question 2: While the normal curve is actually a family of normal curves, each of them can be converted into the Standard Normal Distribution by the use of z-scores.  Can anyone tell how to do this?

 

 

Question 3: Can anyone tell us why the area under the normal curve is 1?

 

Question 4: While a probability can be any number between 1 and 0, when you are working with a probability distribution you need to look at these probabilities a little differently.  In a probability distribution:

• A probability of 1 means that the distribution has no standard deviation.
• A probability of 0 cannot exist, can anyone tell us why?

 

Question 5: What is the standard normal curve?  Why is it needed? Explain how you use the standard normal table to compute the probability P(Z < 2.3).

 

Question 6:

• What is sampling error?
• How do you calculate sampling error?
• How do you calculate the number of subjects you should select?
• What is the Central Limit Theorem?
• How does the Central Limit Theorem affect sampling?