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Portage Learning MATH 110 Module 5 Problem Set 3 _ Introduction to Statistics

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Problem Set 5.3 1. Suppose a pharmaceutical company wants to do a study of the commissions of its sales force. Let's assume that there are 4,300 sales people and the population mean for the sales fo ... rce is $52,400 in commissions and has a population standard deviation of $3,500. What is the probability that a simple random sample of 50 members of the sales force will have commissions within $400 of the population mean? oxx= o √n oxx= o = 3500=494.97 √n √50 z=xx-u= oxx z=xx-u=52000-52400= -400 =-.808 oxx 494.97 494.97 z=xx-u=52800-52400= 400 =.808 oxx 494.97 494.97 P(-.81<Z<.81)=P(Z<.81)-P(Z<-.81)=.79103-.20897=.58206 The probability that 50 members of the sales force will provide a sample mean that is within the $400 sample is .58206. 2. Suppose that in a certain large city, the mean 100 meter dash time for male high school seniors was reported to be 13.3 seconds with a standard deviation of 1.9 seconds. We may assume that the population is normally distributed. a) What is the probability that 20 male high school seniors selected at random will have a mean 100 meter dash time of 12.5 seconds or less? u=13.3, o=1.9, n=20, =12.5 xx oxx= o √n oxx= o = 1.9=.425 √n √20 z=x [Show More]

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