Elementary Statistics: Quiz 6: The Normal Distribution 1.2 2008/09/23 15:50:11 GMT-5 2008/10/24 19:06:48.124 GMT-5 Susan Dean deansusan@deanza.edu Barbara Illowsky illowskybarbara@deanza.edu Susan Dean deansusan@deanza.edu Barbara Illowsky illowskybarbara@deanza.edu Connexions cnx@cnx.org collaborative distribution elementary normal quiz sofia 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). A0.2000 B0.7460 C0.9050 D0.9999 Given X ~ N(300, 15), find the 70th percentile. A0.5244 B210.00 C307.87 D324.96 Given X ~ N(300, 15), what can be said of the median? AThe mode = median and the mode = the mean. BIt is the same as the mode. CIt is less than the average. DIt is the same as the average. Given X ~ N(300, 15), the area to the right of x = 330... Ais the same as the area to the right of z = 2. BP(X > 330) is the same as the area to the right of z = 2 AND to the left of X = 270. Cis the same as the area to the left of x = 270. Dis the same as the area to the left of x = 330. Given X ~ N(300, 15), find the Interquartile Range (IQR). A0.50 B310.12 C20.24 D289.99 Given X ~ N(300, 15), find the z-score associated with x = 290. A15/10 B-10 C10/15 D-10/15 For what do we use z-scores? ABecause of the use of technology, there is no longer any use for z-scores. Bto standardize scores from two or more different normal distributions so that we may compare the scores. Cto help us calculate uniform and exponential probabilities. Dto make our calculations easier because the mean = 0. Given that X ~ N(10, 2), X > 20... Acannot happen. Bcan happen 1/5 of the time. Cis very unlikely to occur. Dwe 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? AThe median for Y is greater than the median for X. BThe median for Y is less than the median for X. CThe percentiles for X and Y are also equal. DThe 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? ANo. BYes. CThere is not enough information to determine.