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d the sorcerer WeBWorK : MU-STAT-2500S/ e × × (2 Pts) NOTE: Your Answers S 2018

ID: 3353925 • Letter: D

Question

d the sorcerer WeBWorK : MU-STAT-2500S/ e × × (2 Pts) NOTE: Your Answers S 2018 Spring Mizzou Business × x s://webwork math.missouri.edu/webwork2/MU STAT 2500 SP18/WBWK1-Chland2/16/peffectiveUser eghn9c&displayMode; Math Jax&show; Prev Up Next (2 pts) For homes in a certain state, electric consumption amounts last year approximately followed a mound-shaped (normal) distribution with a mean of 1023 kilowatt-hours and a standard deviation of 220 kilowatt-hours. a) According to the empirical rule, approximately 99.7% of values in the distribution will be between these two bounds: Lower-bound kilowatt-hours and upper-bound kilowatt-hours. (b) According to the empirical rule, approximately 68% of values in the distribution will be between these two bounds: Lower-bound- kilowatt-hours and upper-bound kilowatt-hours. (c) According to the empirical rule, approximately 95% of values in the distribution will be between these two bounds: Lower-bound = kilowatt-hours and upper-bound kilowatt-hours. Note: You can earn partial credit on this problem. You have attempted this problem 0 times. You have unlimited attempts remaining.

Explanation / Answer

Given, xbar = 1023, s = 220.

(a) lower bound = xbar - (3 * s) = 363
upper bound = xbar + (3 * s) = 1683

(b) lower bound = xbar - (s) = 803
upper bound = xbar + (s) = 1243

(c) lower bound = xbar - (2 * s) = 583
upper bound = xbar + (2 * s) = 1463