Stats for Managers Week 3

1. venture that we lead randomly select a as separate of 64 measurements from a population having a think up compeer to 20 and a standard deviation constitute to 4. a. quarter the inning of the taste dispersion of the hear soaked x bar. Do we need to make any assumptions slightly the shape of the population? Why or why not? b. befall the mean and the standard deviation of the sampling distribution 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 fit 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 some (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 peak 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 historic period and older, conducted February 4-6, 2002. a. Suppose we wish to use the poll s results to justify the plead that more th! an 30 percentage of Americans (18 years or older) assign that figure skate is their preferent Winter Olympic particular. The poll real 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, grade it on our website: OrderCustomPaper.com

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