Normal Table Statistics

Which of the following are the properties of a Normal Probability Distribution.

• The distribution curve is bell - shaped.

• The curve is symmetric about its center, the mean.

• The mean, the median, and the mode coincide at the center.

• The area under the curve is 1 or 100%

• The tails of the curve is asymptotic to the base line.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

• TRUE

• FALSE

TRUE or FALSE: The area that corresponds to z = 2.58 is the same as the area that corresponds to z = -2.58, which is A = 0.4951

• TRUE

• FALSE

What is the probability that the value of a standard normal random variable z lies between 0 and 1.28?

(a)  

What type of distribution is pictured?

• Right skewed

• Left skewed

• Random

• Normal

This data is normally distributed.  What percentage of the data is in the shaded region?

• 68%

• 34%

• 17%

• 50%

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%

• 95%

• 99.7%

• 50%

In the accompanying diagram, the shaded area represents approximately 95% of the scores on a standardized test. If these scores ranged from 78 to 92, which could be the standard deviation?

• 3.5

• 7

• 14

• 20

Question 28

• 1

• 2

• 3

• 4

How is the graph distributed?

• It is clearly Normal Distribution!

• Slightly skewed to the left.

• Slightly skewed to the right.

• It is clearly Uniform Distribution!