EBK ESSENTIALS OF STATISTICS FOR BUSINE
8th Edition
ISBN: 8220103648783
Author: Anderson
Publisher: CENGAGE L
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Chapter 11, Problem 25SE
a.
To determine
Compute the sample
b.
To determine
Compute the sample standard deviation.
c.
To determine
Compute the 95% confidence
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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
x² +0²
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 11 Solutions
EBK ESSENTIALS OF STATISTICS FOR BUSINE
Ch. 11.1 - 1. Find the following chi-square distribution...Ch. 11.1 - Prob. 2ECh. 11.1 - A sample of 16 items provides a sample standard...Ch. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Volatility of General Electric Stock. To analyze...Ch. 11.1 - Variability in Daily Change in Stock Price....Ch. 11.1 - Prob. 9ECh. 11.1 - Costco Customer Satisfaction. Consumer Reports...
Ch. 11.1 - Prob. 11ECh. 11.1 - Vehicle Ownership by Fortune Magazine Subscribers....Ch. 11.2 - Find the following F distribution values from...Ch. 11.2 - A sample of 16 items from population 1 has a...Ch. 11.2 - Prob. 15ECh. 11.2 - Comparing Risk of Mutual Funds. Investors commonly...Ch. 11.2 - Repair Costs as Automobiles Age. In its 2016 Auto...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - 21. Many smartphones, especially those of the...Ch. 11.2 - Prob. 22ECh. 11 - 23. Because of staffing decisions, managers of the...Ch. 11 - Prob. 24SECh. 11 - Prob. 25SECh. 11 - Prob. 26SECh. 11 - Prob. 27SECh. 11 - Prob. 28SECh. 11 - Daily Patient Volume at Dental Clinic. A sample of...Ch. 11 - A sample standard deviation for the number of...Ch. 11 - Golf Scores. Is there any difference in the...Ch. 11 - Grade Point Average Comparison. The grade point...Ch. 11 - Prob. 33SECh. 11 - Two new assembly methods are tested and the...
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- What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forwardThere are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.arrow_forwardshow all stepsarrow_forward
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