EBK BUSINESS ANALYTICS
3rd Edition
ISBN: 9780136880844
Author: Evans
Publisher: PEARSON
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Chapter 4, Problem 73PE
To determine
To compute: the sample means, assuming that each row in the data file represents a sample from the manufacturing process.
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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(-\}
>
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
EBK BUSINESS ANALYTICS
Ch. 4 - Prob. 1PECh. 4 - Classify each of the data elements in the Sales...Ch. 4 - Identify each of the variables in the Excel file...Ch. 4 - Classify each of the variables in the Excel file...Ch. 4 - Use the COUNTIF function to construct a frequency...Ch. 4 - A community health status survey obtained the...Ch. 4 - Construct frequency distributions and histograms...Ch. 4 - Use the Histogram tool to develop a frequency...Ch. 4 - Prob. 12PECh. 4 - Use a PivotTable to construct a frequency...
Ch. 4 - Prob. 14PECh. 4 - Find the 20thand80th percentiles of home prices in...Ch. 4 - Find the 10thand90th percentiles and the first and...Ch. 4 - Prob. 18PECh. 4 - Find the first, second, and third quartiles for...Ch. 4 - Prob. 20PECh. 4 - Prob. 21PECh. 4 - Find the mean, median, and midrange for the data...Ch. 4 - In the Excel file Facebook Survey, find the mean,...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - In the Excel file Facebook Survey, find the range,...Ch. 4 - For the Excel file Tablet Computer Sales, find the...Ch. 4 - The Excel file Atlanta Airline Data provides...Ch. 4 - Compute the coefficient of variation for each...Ch. 4 - Find 30 days of stock prices for three companies...Ch. 4 - Apply the Descriptive Statistics tool for subsets...Ch. 4 - Use the Descriptive Statistics tool to summarize...Ch. 4 - Prob. 39PECh. 4 - Prob. 42PECh. 4 - Prob. 43PECh. 4 - Prob. 44PECh. 4 - Prob. 45PECh. 4 - In the Excel file Bicycle Inventory, find the...Ch. 4 - Prob. 48PECh. 4 - Prob. 49PECh. 4 - Prob. 50PECh. 4 - Prob. 51PECh. 4 - Prob. 52PECh. 4 - Prob. 55PECh. 4 - Prob. 56PECh. 4 - Prob. 57PECh. 4 - Prob. 58PECh. 4 - Prob. 59PECh. 4 - In the Excel file Weddings, determine the...Ch. 4 - Prob. 61PECh. 4 - Prob. 62PECh. 4 - For the Presidents Inn Guest Database, find the...Ch. 4 - For the Excel file Credit Risk Data, compute the...Ch. 4 - Compute the z-scores for the data in the Excel...Ch. 4 - Prob. 67PECh. 4 - Prob. 68PECh. 4 - Prob. 70PECh. 4 - Prob. 71PECh. 4 - Prob. 73PECh. 4 - Prob. 74PECh. 4 - Prob. 75PE
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