Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
6th Edition
ISBN: 9780357228708
Author: David R. Anderson; Dennis J. Sweeney; Thomas A. Williams
Publisher: Cengage Learning US
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Chapter 19.2, Problem 2E
Twenty-five samples, each of size 5, were selected from a process that was in control. The sum of all the data collected was 677.5 pounds.
- a. What is an estimate of the process
mean (in terms of pounds per unit) when the process is in control? - b. Develop the
samples of size 5 will be used. Assume that the process standard deviation is .5 when the process is in control, and that the mean of the process is the estimate developed in part (a).
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3. Prove that, for any random variable X, the minimum of E(X - a)² is attained
for a = EX.
Proved
7. Cantelli's inequality. Let X be a random variable with finite variance, o².
(a) Prove that, for x ≥ 0,
P(X EX2x)≤
02
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202
P(|X - EX2x)<≤
(b) Find X assuming two values where there is equality.
(c) When is Cantelli's inequality better than Chebyshev's inequality?
(d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall,
from Proposition 6.1, that an application of Chebyshev's inequality yields
the bound o√√2.
(e) Generalize Cantelli's inequality to moments of order r 1.
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
Chapter 19 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
Ch. 19.2 - 1. A process that is in control has a mean of =...Ch. 19.2 - 2. Twenty-five samples, each of size 5, were...Ch. 19.2 - Prob. 3ECh. 19.2 - Prob. 4ECh. 19.2 - Prob. 5ECh. 19.2 - Prob. 6ECh. 19.2 - Prob. 7ECh. 19.2 - Prob. 8ECh. 19.2 - Prob. 9ECh. 19.3 - 10. For an acceptance sampling plan with n = 25...
Ch. 19.3 - Prob. 11ECh. 19.3 - Prob. 12ECh. 19.3 - 13. Refer to the KALI problem presented in this...Ch. 19.3 - Prob. 14ECh. 19 - Prob. 16SECh. 19 - Prob. 17SECh. 19 - Prob. 18SECh. 19 - The following are quality control data for a...Ch. 19 - The following were collected for the Master Blend...Ch. 19 - An insurance company samples claim forms for...Ch. 19 - Prob. 22SECh. 19 - 23. An n = 10, c = 2 acceptance sampling plan is...Ch. 19 - Prob. 24SE
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