Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 3, Problem 74CE

A recent article suggested that, if you earn $25,000 a year today and the inflation rate continues at 3% per year, you’ll need to make $33,598 in 10 years to have the same buying power. You would need to make $44,771 if the inflation rate jumped to 6%. Confirm that these statements are accurate by finding the geometric mean rate of increase.

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iid 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/ } г( (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(·).
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Chapter 3 Solutions

Statistical Techniques in Business and Economics

Ch. 3 - For Exercises 710, (a) compute the arithmetic mean...Ch. 3 - For Exercises 710, (a) compute the arithmetic mean...Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 2.1SRCh. 3 - Prob. 2.2SRCh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 3SRCh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 4SRCh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 5.1SRCh. 3 - Prob. 5.2SRCh. 3 - Compute the geometric mean of the following...Ch. 3 - Prob. 28ECh. 3 - Listed below is the percent increase in sales for...Ch. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 6SRCh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Prob. 37ECh. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 7SRCh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Plywood Inc. reported these returns on stockholder...Ch. 3 - Prob. 46ECh. 3 - Prob. 8SRCh. 3 - Prob. 47ECh. 3 - Prob. 48ECh. 3 - Prob. 49ECh. 3 - Prob. 50ECh. 3 - Prob. 51ECh. 3 - Prob. 52ECh. 3 - Prob. 9SRCh. 3 - Prob. 53ECh. 3 - The mean income of a group of sample observations...Ch. 3 - Prob. 55ECh. 3 - Prob. 56ECh. 3 - Prob. 10SRCh. 3 - Prob. 57ECh. 3 - Prob. 58ECh. 3 - Prob. 59ECh. 3 - Prob. 60ECh. 3 - The IRS was interested in the number of individual...Ch. 3 - Prob. 62ECh. 3 - Prob. 63CECh. 3 - Prob. 64CECh. 3 - Prob. 65CECh. 3 - Prob. 66CECh. 3 - Prob. 67CECh. 3 - Prob. 68CECh. 3 - Prob. 69CECh. 3 - Prob. 70CECh. 3 - Prob. 71CECh. 3 - Prob. 72CECh. 3 - Prob. 73CECh. 3 - A recent article suggested that, if you earn...Ch. 3 - Prob. 75CECh. 3 - Prob. 76CECh. 3 - Prob. 77CECh. 3 - Prob. 78CECh. 3 - The Apollo space program lasted from 1967 until...Ch. 3 - Prob. 80CECh. 3 - Prob. 81CECh. 3 - Prob. 82CECh. 3 - Prob. 83CECh. 3 - Prob. 84CECh. 3 - Bidwell Electronics Inc. recently surveyed a...Ch. 3 - Refer to the North Valley Real Estate data and...Ch. 3 - Prob. 87DACh. 3 - Refer to the Lincolnville School District bus...
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