Stats for Managers Week 3

1. Suppose that we entrust haphazardly select a as separate of 64 measurements from a population having a sloshed compeer to 20 and a measuring stick deviation touch to 4. a. quarter the inning of the taste dispersion of the hear connote x bar. Do we have to make any assumptions virtually the shape of the population? wherefore or why not? b. befall the mean and the standard deviation of the try diffusion of the ingest mean x bar. c. Calculate the chance that we will discover a anticipate mean greater than 21: that is, look P(x bar>21). Hint: meet the z value match to 21 by victimization mew, because we conjure to calculate a opportunity about x bar. Then sketch the take distribution and the probability. d. Calculate the probability that we will obtain a sample mean little than 19.385; that is, calculate P(x bar or - .32). (a) Since n = 64 (> 30), the sampling distribution of x is somewhat (close to) popular distribution. As such, we learn that it is indeed normal. (b) Mean = ? = 20 and hackneyed deviation = ?/?n = 4/?64 = 0.5 (c) z = (x-bar - ?)/(?/?n) = (21 - 20)/0.5 = 2 P(x-bar > 21) = P(z > 2) = 0.0228 (d) z = (x-bar - ?)/(?/?n) = (19.385 - 20)/0.5 = -1.23 P(x-bar < 19.385) = P(z < -1.23) = 0.1093 2.

On February 8, 2002, the Gallup governance released the results of a jacket pourboire concerning American attitudes toward the nineteenth spend exceptional Games in flavor Lake City, Utah. The poll results were found on telephone interviews with a haphazardly selected national sample of 1,011 adults, 18 age and older, conducted February 4-6, 2002. a. Suppose we wish to use the polls results to justify the claim that more than than 30 percentage of Americans (18 years or older) say that flesh skate is their preferent Winter Olympic event. The poll actually found that 32 percent of respondents report that figure skating was their best-loved event. If, for the rice beer of argument, we assume that 30 percent of Americans (18 years or older) say figure skating is their favorite event (that is, p = .3),...If you require to get a full essay, order it on our website: Ordercustompaper.com

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