Loose Leaf for Statistical Techniques in Business and Economics
17th Edition
ISBN: 9781260152647
Author: Douglas A. Lind
Publisher: McGraw-Hill Education
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Chapter 17, Problem 35CE
To determine
Find Laspeyres’ price index for 2016 using 2000 as the base period.
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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}
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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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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 17 Solutions
Loose Leaf for Statistical Techniques in Business and Economics
Ch. 17 - Prob. 1.1SRCh. 17 - Prob. 1.2SRCh. 17 - Prob. 1ECh. 17 - Prob. 2ECh. 17 - Prob. 3ECh. 17 - Prob. 4ECh. 17 - Prob. 2SRCh. 17 - Prob. 5ECh. 17 - Prob. 6ECh. 17 - Prob. 7E
Ch. 17 - Prob. 8ECh. 17 - Prob. 3SRCh. 17 - Prob. 9ECh. 17 - Prob. 10ECh. 17 - Prob. 4SRCh. 17 - Prob. 11ECh. 17 - Prob. 5SRCh. 17 - Prob. 6SRCh. 17 - Prob. 7SRCh. 17 - Prob. 13ECh. 17 - Prob. 14ECh. 17 - Prob. 15ECh. 17 - Prob. 16ECh. 17 - Prob. 17CECh. 17 - Prob. 18CECh. 17 - Prob. 19CECh. 17 - Prob. 20CECh. 17 - Prob. 21CECh. 17 - Prob. 22CECh. 17 - Prob. 23CECh. 17 - Prob. 24CECh. 17 - Prob. 25CECh. 17 - Prob. 26CECh. 17 - Prob. 27CECh. 17 - Prob. 28CECh. 17 - Prob. 29CECh. 17 - Prob. 30CECh. 17 - Prob. 31CECh. 17 - Prob. 32CECh. 17 - Prob. 33CECh. 17 - Prob. 34CECh. 17 - Prob. 35CECh. 17 - Prob. 36CECh. 17 - Prob. 37CECh. 17 - Prob. 38CECh. 17 - Prob. 39CECh. 17 - Prob. 40CECh. 17 - Prob. 41CECh. 17 - Prob. 42CECh. 17 - Prob. 43CECh. 17 - Prob. 44CECh. 17 - Prob. 45CECh. 17 - Prob. 46CECh. 17 - Prob. 47CECh. 17 - Prob. 48CECh. 17 - Prob. 49CECh. 17 - Prob. 50CECh. 17 - Prob. 51CECh. 17 - Prob. 52CECh. 17 - Prob. 53CECh. 17 - Prob. 54CECh. 17 - Prob. 55CE
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