EBK STATISTICAL TECHNIQUES IN BUSINESS
EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 8, Problem 4E

Listed next are the 27 Nationwide Insurance agents in the El Paso, Texas metropolitan area. The agents are numbered 00 through 26. We would like to estimate the mean number of years employed with Nationwide.

Chapter 8, Problem 4E, Listed next are the 27 Nationwide Insurance agents in the El Paso, Texas metropolitan area. The

  1. a. We want to select a random sample of four agents. The random numbers are 02, 59, 51, 25, 14, 29, 77, 69, and 18. Which dealers would be included in the sample?
  2. b. Use the table of random numbers to select your own sample of four agents.
  3. c. Using systematic random sampling, every fifth dealer is selected starting with the third dealer in the list. Which dealers are included in the sample?
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Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2. 1. Show that AAB (ANB) U (BA) = (AUB) (AB), Α' Δ Β = Α Δ Β, {A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).
16. Show that, if X and Y are independent random variables, such that E|X|< ∞, and B is an arbitrary Borel set, then EXI{Y B} = EX P(YE B).
Proposition 1.1 Suppose that X1, X2,... are random variables. The following quantities are random variables: (a) max{X1, X2) and min(X1, X2); (b) sup, Xn and inf, Xn; (c) lim sup∞ X and lim inf∞ Xn- (d) If Xn(w) converges for (almost) every w as n→ ∞, then lim- random variable. → Xn is a
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