Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260788785
Author: Lind, Douglas
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 2.3PT
a.
To determine
Find the
b.
To determine
Find the
c.
To determine
Find the 40th percentile.
d.
To determine
Find the
d.
To determine
Find the standard deviation of the number of CDs owned.
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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,
· (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/ }
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(c) Poisson with rate λ: P(Y = y) = exp(-\}
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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(·).
math
Chapter 4 Solutions
Statistical Techniques in Business and Economics
Ch. 4 - Prob. 1SRCh. 4 - Describe the differences between a histogram and a...Ch. 4 - Prob. 2ECh. 4 - Consider the following chart. a. What is this...Ch. 4 - The following chart reports the number of cell...Ch. 4 - Prob. 2SRCh. 4 - Prob. 5ECh. 4 - Prob. 6ECh. 4 - Prob. 7ECh. 4 - Kevin Horn is the national sales manager for...
Ch. 4 - The following box plot shows the assets in...Ch. 4 - Prob. 9ECh. 4 - Prob. 10ECh. 4 - Prob. 11ECh. 4 - A sample of 28 time shares in the Orlando,...Ch. 4 - Prob. 4SRCh. 4 - Prob. 13ECh. 4 - Prob. 14ECh. 4 - Prob. 15ECh. 4 - Prob. 16ECh. 4 - Prob. 5SRCh. 4 - Prob. 17ECh. 4 - Prob. 18ECh. 4 - Prob. 19ECh. 4 - Ski Resorts of Vermont Inc. is considering a...Ch. 4 - Prob. 21CECh. 4 - Prob. 22CECh. 4 - Prob. 23CECh. 4 - Prob. 24CECh. 4 - Prob. 25CECh. 4 - Prob. 26CECh. 4 - Prob. 27CECh. 4 - Prob. 28CECh. 4 - Prob. 29CECh. 4 - Prob. 30CECh. 4 - Prob. 31CECh. 4 - Prob. 32CECh. 4 - Prob. 33CECh. 4 - Prob. 34CECh. 4 - Prob. 35CECh. 4 - Prob. 36DACh. 4 - Prob. 38DACh. 4 - The duration in minutes of a sample of 50 power...Ch. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - A. Century National Bank The following case will...Ch. 4 - A. Century National Bank The following case will...Ch. 4 - Prob. 3CCh. 4 - The science of collecting, organizing, presenting,...Ch. 4 - Methods of organizing, summarizing, and presenting...Ch. 4 - Prob. 1.3PTCh. 4 - List the two types of variables.Ch. 4 - Prob. 1.5PTCh. 4 - The jersey numbers of Major League Baseball...Ch. 4 - Prob. 1.7PTCh. 4 - Prob. 1.8PTCh. 4 - Prob. 1.9PTCh. 4 - Prob. 1.10PTCh. 4 - Prob. 1.11PTCh. 4 - Prob. 1.12PTCh. 4 - Prob. 1.13PTCh. 4 - Prob. 2.1PTCh. 4 - Prob. 2.2PTCh. 4 - Prob. 2.3PTCh. 4 - Prob. 2.4PTCh. 4 - Prob. 2.5PT
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