EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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Chapter 4, Problem 4.16LB
(a)
To determine
To find out what is the
(b)
To determine
To find out what is the probability of
(c)
To determine
To find out what is the probability of
(d)
To determine
To find out are the
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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,
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(EY,, varyi
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For the following population distributions f, write the approximate distribution of the sample
mean.
(a) Exponential with rate ẞ: f(y) = ß exp{−ßy}
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(b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ }
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(c) Poisson with rate λ: P(Y = y) = exp(-\}
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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(·).
math
Chapter 4 Solutions
EBK BUSINESS STATISTICS
Ch. 4 - Three coins are tossed. Give an example of a...Ch. 4 - An urn contains 12 red balls and 8 white balls....Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Prob. 4.4LBCh. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Which of the following events occur with a...Ch. 4 - Prob. 4.8ACCh. 4 - Referring to the contingency table in Problem 4.8,...Ch. 4 - Prob. 4.10AC
Ch. 4 - Referring to the contingency table in problem...Ch. 4 - What business and technical skills are critical...Ch. 4 - Prob. 4.13ACCh. 4 - Prob. 4.14ACCh. 4 - Prob. 4.15ACCh. 4 - Prob. 4.16LBCh. 4 - Prob. 4.17LBCh. 4 - Prob. 4.18LBCh. 4 - Prob. 4.19LBCh. 4 - Prob. 4.20LBCh. 4 - Prob. 4.21ACCh. 4 - Prob. 4.22ACCh. 4 - Prob. 4.23ACCh. 4 - Prob. 4.24ACCh. 4 - Prob. 4.25ACCh. 4 - Each year, ratings are compiled concerning the...Ch. 4 - Prob. 4.27ACCh. 4 - Prob. 4.28ACCh. 4 - Prob. 4.29ACCh. 4 - Prob. 4.30LBCh. 4 - Prob. 4.31LBCh. 4 - Prob. 4.32ACCh. 4 - A banking executive is studying the role of trust...Ch. 4 - Olive Construction Company is determining whether...Ch. 4 - According to a report by The Kauffman Foundation...Ch. 4 - Prob. 4.36ACCh. 4 - Prob. 4.37ACCh. 4 - Prob. 4.38ACCh. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - If a coin is tossed seven times, how many...Ch. 4 - A particular brand of womens jeans is available in...Ch. 4 - Prob. 4.42ACCh. 4 - Prob. 4.43ACCh. 4 - Prob. 4.44ACCh. 4 - Prob. 4.45ACCh. 4 - Prob. 4.46ACCh. 4 - Prob. 4.47ACCh. 4 - Prob. 4.48ACCh. 4 - Prob. 4.49ACCh. 4 - Prob. 4.50ACCh. 4 - Prob. 4.51ACCh. 4 - Prob. 4.52CYUCh. 4 - Prob. 4.53CYUCh. 4 - Prob. 4.54CYUCh. 4 - What is the difference between mutually exclusive...Ch. 4 - Prob. 4.56CYUCh. 4 - Prob. 4.57CYUCh. 4 - Prob. 4.58CYUCh. 4 - Prob. 4.59CYUCh. 4 - Prob. 4.60CRPCh. 4 - Prob. 4.61CRPCh. 4 - Prob. 4.62CRPCh. 4 - Prob. 4.63CRPCh. 4 - Prob. 4.64CRPCh. 4 - A 2013 Sage North America survey examined the...
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