Applied Statistics in Business and Economics
5th Edition
ISBN: 9781259329050
Author: DOANE
Publisher: MCG
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Chapter 13, Problem 11ERQ
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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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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 13 Solutions
Applied Statistics in Business and Economics
Ch. 13.1 - Observations are taken on net revenue from sales...Ch. 13.1 - Observations are taken on sales of a certain...Ch. 13.1 - Prob. 3SECh. 13.1 - A regression model to predict Y, the...Ch. 13.2 - Refer to the ANOVA table below. (a) State the...Ch. 13.2 - Refer to the ANOVA table below. (a) State the...Ch. 13.2 - Prob. 7SECh. 13.2 - Refer to the ANOVA table below. (a) State the...Ch. 13.3 - Observations are taken on net revenue from sales...Ch. 13.3 - Observations are taken on sales of a certain...
Ch. 13.3 - Prob. 11SECh. 13.3 - A regression model to predict Y, the state...Ch. 13.4 - A regression of accountants starting salaries in a...Ch. 13.4 - An agribusiness performed a regression of wheat...Ch. 13.5 - Prob. 15SECh. 13.5 - A regression model to predict the price of...Ch. 13.5 - Prob. 17SECh. 13.5 - Prob. 18SECh. 13.6 - Prob. 19SECh. 13.6 - Prob. 20SECh. 13.7 - Prob. 21SECh. 13.7 - Using the Metals data, construct a correlation...Ch. 13.8 - Prob. 23SECh. 13.8 - Which violations of regression assumptions, if...Ch. 13 - (a) List two limitations of simple regression. (b)...Ch. 13 - (a) What does represent in the regression model?...Ch. 13 - Prob. 3CRCh. 13 - Prob. 4CRCh. 13 - Prob. 5CRCh. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CRCh. 13 - Prob. 9CRCh. 13 - (a) State the formula for the standard error of...Ch. 13 - (a) What is a categorical predictor? (b) Why is a...Ch. 13 - Prob. 12CRCh. 13 - Prob. 13CRCh. 13 - (a) What is multicollinearity? (b) What are its...Ch. 13 - Prob. 15CRCh. 13 - (a) State the formula for a variance inflation...Ch. 13 - Prob. 17CRCh. 13 - Prob. 18CRCh. 13 - Prob. 19CRCh. 13 - Prob. 20CRCh. 13 - (a) Name two ways to detect autocorrelated...Ch. 13 - (a) What is a lurking variable? How might it be...Ch. 13 - Instructions for Data Sets: Choose one of the data...Ch. 13 - Note: Exercises marked are based on optional...Ch. 13 - Prob. 27CECh. 13 - Note: Exercises marked are based on optional...Ch. 13 - Note: Exercises marked are based on optional...Ch. 13 - Prob. 30CECh. 13 - Prob. 31CECh. 13 - Prob. 32CECh. 13 - Prob. 33CECh. 13 - Prob. 34CECh. 13 - Prob. 35CECh. 13 - Note: Exercises marked are based on optional...Ch. 13 - Note: Exercises marked are based on optional...Ch. 13 - Note: Exercises marked are based on optional...Ch. 13 - Prob. 39CECh. 13 - Prob. 40CECh. 13 - Prob. 41CECh. 13 - In a model of Fords quarterly revenue TotalRevenue...Ch. 13 - In a study of paint peel problems, a regression...Ch. 13 - A hospital emergency room analyzed n = 17,664...Ch. 13 - Prob. 45CECh. 13 - A researcher used stepwise regression to create...Ch. 13 - A sports enthusiast created an equation to predict...Ch. 13 - An expert witness in a case of alleged racial...Ch. 13 - Prob. 50CECh. 13 - Prob. 51CECh. 13 - Prob. 52CECh. 13 - Which statement is correct concerning one-factor...Ch. 13 - Prob. 2ERQCh. 13 - Prob. 3ERQCh. 13 - Prob. 4ERQCh. 13 - Prob. 5ERQCh. 13 - Prob. 6ERQCh. 13 - Prob. 7ERQCh. 13 - Prob. 8ERQCh. 13 - Prob. 9ERQCh. 13 - Prob. 10ERQCh. 13 - Prob. 11ERQCh. 13 - Prob. 12ERQCh. 13 - Prob. 13ERQCh. 13 - Prob. 14ERQCh. 13 - Prob. 15ERQ
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