Elementary Statistics: Quiz 7: The Central Limit Theorem 1.2 2008/09/23 16:11:19 GMT-5 2008/10/24 18:41:53.126 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 central collaborative elementary limit quiz sofia theorem This module is a quiz containing 10 multiple choice questions covering topics related to the central limit theorem. This module is part of a set of companion resources to Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean. Given that X ~ N(300, 15), we survey 20 at a time and are interested in the distribution of X-bar. As the number of data values averaged together gets larger, what happens to the standard error of the mean (the standard deviation of X-bar)? AIt becomes larger. BIt becomes smaller. CIt approaches the average of X-bar. DIt approaches the standard deviation of X. Given X ~ Exp(1/8), we survey 100 at a time and are interested in the distribution of X-bar. Find the standard deviation of X-bar. A0.8 B0.0125 C0.0800 D0.125 Given X ~ Exp(1/8), we survey 100 at a time and are interested in the distribution of X-bar. Find the third quartile of X-bar. A6 B0.6321 C8.54 D2.30 Given that X ~ N(300, 15), we survey 20 at a time and are interested in the distribution of X-bar. Find the 33rd percentile of the distribution for X-bar. A298.6 B293.5 C301.4 D100.0 Given that X ~ N(300, 15), we survey 20 at a time and are interested in the distribution of X-bar. Find the z-score associated with x-bar = 290. A-10/15 B-10 C-2.9814 D-13.3333 Given X ~ Exp(0.125), we survey 100 at a time and are interested in the distribution of X-bar. P(X-bar < 7)= ____________. A0.1056 B0.5831 C0.9987 D0.0001 Given X ~ U(2,18), we survey forty at a time and are interested in the distribution of X-bar. The standard deviation of X-bar is: A1.5811 B0.1155 C0.7303 D4.62 Given X ~ U(2,18), we survey forty at a time and are interested in the distribution of X-bar. P(X < 4) is ______ P(X-bar < 4). Aless than Bequal to Cgreater than Dat most Given X ~ U(2,18), we survey forty at a time and are interested in the distribution of X-bar. P(2 < X < 18) is _______ P(2 < X-bar < 18) Aless than Bequal to Cgreater than Dat most Given that X ~ N(300, 15), we survey 20 at a time and are interested in the distribution of X-bar. What can be said about the median of the random variable X-bar? AIt is the same as the median of X. BIt is the same as the average of X-bar. CIt is the same as the average of X. DA, B, C are all correct.