Stats for Managers Week 3

1. cogitate that we testament randomly select a as separate of 64 measurements from a population having a bastardly compeer to 20 and a standard deviation stir to 4. a. quarter the inning of the sample dispersion of the hear represent x bar. Do we need to make any assumptions round the shape of the population? Why or why non? b. befall the mean and the standard deviation of the sampling dispersion of the ingest mean x bar. c. Calculate the chance that we will discover a seek mean greater than 21: that is, look P(x bar>21). Hint: Find the z value like to 21 by using mew, because we wish to calculate a probability about x bar. Then sketch the sampling distribution and the probability. d. Calculate the probability that we will obtain a sample mean less than 19.385; that is, calculate P(x bar or - .32). (a) Since n = 64 (> 30), the sampling distribution of x is most (close to) popular distribution. As such, we assume 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 Organization released the results of a detonating device crown concerning American attitudes toward the nineteenth Winter Olympic Games in Salt Lake City, Utah. The poll results were found on telephone interviews with a randomly selected national sample of 1,011 adults, 18 geezerhood and older, conducted February 4-6, 2002. a. Suppose we wish to us e the polls results to justify the bring th! at more than 30 percentage of Americans (18 years or older) posit that figure glide is their preferent Winter Olympic egress. The poll actually found that 32 percent of respondents reported that figure skating was their favorite 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, arrangement it on our website: OrderCustomPaper.com

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