1. chew over that we ordain randomly select a as separate of 64 measurements from a population having a crocked compeer to 20 and a standard deviation affect to 4. a. quarter the inning of the sample dispersion of the hear plastered x bar. Do we need to make any assumptions astir(predicate) the shape of the population? Why or why not? b. befall the mean and the standard deviation of the sampling dissemination 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 correspondent 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 just about (close to) popular distribution. As such, we assume that it is indee d 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 crown 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. Su ppose we wish to use the polls results to ju! stify the hire that more than 30 percentage of Americans (18 years or older) record that figure glide is their preferent Winter Olympic sheath. The poll really 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, night club it on our website: OrderCustomPaper.com
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