Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
16th Edition
ISBN: 9780077639723
Author: Lind
Publisher: Mcgraw-Hill Course Content Delivery
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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 - Prob. 10ECh. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 2.1SRCh. 3 - The number of work stoppages in the automobile...Ch. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Sally Reynolds sells real estate along the coastal...Ch. 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 - Estimate the mean and the standard deviation of...Ch. 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 - The Kentucky Derby is held the first Saturday in...Ch. 3 - Prob. 83CECh. 3 - Prob. 84CECh. 3 - Bidwell Electronics Inc. recently surveyed a...Ch. 3 - Refer to the Real Estate data, which reports...Ch. 3 - Refer to the Baseball 2012 data, which report...Ch. 3 - Refer to the Buena School District bus data....
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