Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
6th Edition
ISBN: 9780357228708
Author: David R. Anderson; Dennis J. Sweeney; Thomas A. Williams
Publisher: Cengage Learning US
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Chapter 12.2, Problem 13E

Company Reputation and Management Quality Survey. The Wall Street Journal Annual Corporate Perceptions Study surveyed readers and asked how they rated the quality of management and the reputation of the company for more than 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on a categorical scale of excellent, good, and fair categorical. Assume the sample data for 200 respondents below applies to this study.

Chapter 12.2, Problem 13E, Company Reputation and Management Quality Survey. The Wall Street Journal Annual Corporate

  1. a. Use a .05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conclusion?
  2. b. If there is a dependence or association between the two ratings, discuss and use probabilities to justify your answer.
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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²
2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).
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Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)

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