Summary: This module is a quiz containing 10 multiple choice questions covering topics related to the normal distribution. This module is part of a set of companion resources to Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

Given X ~ N (300, 15), find P(280 < X < 340).

**A.**0.2000**B.**0.7460**C.**0.9050**D.**0.9999

Given X ~ N(300, 15), find the 70th percentile.

**A.**0.5244**B.**210.00**C.**307.87**D.**324.96

Given X ~ N(300, 15), what can be said of the median?

**A.**The mode = median and the mode = the mean.**B.**It is the same as the mode.**C.**It is less than the average.**D.**It is the same as the average.

Given X ~ N(300, 15), the area to the right of x = 330...

**A.**is the same as the area to the right of z = 2.**B.**P(X > 330) is the same as the area to the right of z = 2 AND to the left of X = 270.**C.**is the same as the area to the left of x = 270.**D.**is the same as the area to the left of x = 330.

Given X ~ N(300, 15), find the Interquartile Range (IQR).

**A.**0.50**B.**310.12**C.**20.24**D.**289.99

Given X ~ N(300, 15), find the z-score associated with x = 290.

**A.**15/10**B.**-10**C.**10/15**D.**-10/15

For what do we use z-scores?

**A.**Because of the use of technology, there is no longer any use for z-scores.**B.**to standardize scores from two or more different normal distributions so that we may compare the scores.**C.**to help us calculate uniform and exponential probabilities.**D.**to make our calculations easier because the mean = 0.

Given that X ~ N(10, 2), X > 20...

**A.**cannot happen.**B.**can happen 1/5 of the time.**C.**is very unlikely to occur.**D.**we cannot determine its probability.

Given that X ~ N(10, 2) and Y follows the Exponential Distribution with a mean of 10, which of the following are correct?

**A.**The median for Y is greater than the median for X.**B.**The median for Y is less than the median for X.**C.**The percentiles for X and Y are also equal.**D.**The median for X and Y are also equal.

For data that is normally distributed, is it possible for the standard deviation to be larger than the mean?

**A.**No.**B.**Yes.**C.**There is not enough information to determine.