Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 14, Problem 9CQQ
To determine
To explain: The p chart.
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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 14 Solutions
Elementary Statistics
Ch. 14.2 - Product Specs Table 14-1 lists process data...Ch. 14.2 - Prob. 2BSCCh. 14.2 - Prob. 3BSCCh. 14.2 - Prob. 4BSCCh. 14.2 - Prob. 5BSCCh. 14.2 - Prob. 6BSCCh. 14.2 - Prob. 7BSCCh. 14.2 - Prob. 8BSCCh. 14.2 - Prob. 9BSCCh. 14.2 - Prob. 10BSC
Ch. 14.2 - Prob. 11BSCCh. 14.2 - Prob. 12BSCCh. 14.2 - Prob. 13BBCh. 14.2 - Prob. 14BBCh. 14.3 - Prob. 1BSCCh. 14.3 - Prob. 2BSCCh. 14.3 - Prob. 3BSCCh. 14.3 - Interpreting a Control Chart After constructing a...Ch. 14.3 - Prob. 5BSCCh. 14.3 - Prob. 6BSCCh. 14.3 - Prob. 7BSCCh. 14.3 - Prob. 8BSCCh. 14.3 - Prob. 9BSCCh. 14.3 - Prob. 10BSCCh. 14.3 - Control Charts for p. In Exercises 512, use the...Ch. 14.3 - Prob. 12BSCCh. 14.3 - Prob. 13BBCh. 14 - Prob. 1CQQCh. 14 - Prob. 2CQQCh. 14 - Prob. 3CQQCh. 14 - Prob. 4CQQCh. 14 - Prob. 5CQQCh. 14 - Prob. 6CQQCh. 14 - Prob. 7CQQCh. 14 - Prob. 8CQQCh. 14 - Prob. 9CQQCh. 14 - Examine the following p chart for defective...Ch. 14 - Prob. 1RECh. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Energy Consumption. Exercises 15 refer to the...Ch. 14 - Prob. 5RECh. 14 - Prob. 1CRECh. 14 - Prob. 2CRECh. 14 - Prob. 3CRECh. 14 - Prob. 4CRECh. 14 - Prob. 5CRECh. 14 - Prob. 6CRECh. 14 - Prob. 7CRECh. 14 - Prob. 8CRECh. 14 - Prob. 9CRECh. 14 - Prob. 10CRECh. 14 - FROM DATA TO DECISION Critical Thinking: Are the...
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