Basic Practice of Statistics (Instructor's)
8th Edition
ISBN: 9781319057923
Author: Moore
Publisher: MAC HIGHER
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Chapter 9.7, Problem 16AYK
a.
To determine
To describe: The design of the matched pairs experiment, including the randomization required.
b.
To determine
To explain: Whether this experiment can be conducted using completely randomized design. Explain how it is differed from matched pairs experiment.
c.
To determine
To explain: The problem with comparing the performance of two breathing frequencies when each swimmer is allowed to choose his own breathing frequency.
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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 9 Solutions
Basic Practice of Statistics (Instructor's)
Ch. 9.1 - Prob. 1AYKCh. 9.1 - Prob. 2AYKCh. 9.1 - Prob. 3AYKCh. 9.2 - Prob. 4AYKCh. 9.2 - Prob. 5AYKCh. 9.2 - Prob. 6AYKCh. 9.3 - Prob. 7AYKCh. 9.4 - Prob. 10AYKCh. 9.4 - Prob. 8AYKCh. 9.4 - Prob. 9AYK
Ch. 9.5 - Prob. 11AYKCh. 9.5 - Prob. 12AYKCh. 9.5 - Prob. 13AYKCh. 9.6 - Prob. 14AYKCh. 9.6 - Prob. 15AYKCh. 9.7 - Prob. 16AYKCh. 9.7 - Prob. 17AYKCh. 9.7 - Prob. 18AYKCh. 9 - Prob. 9.19CYSCh. 9 - Prob. 9.20CYSCh. 9 - Prob. 9.21CYSCh. 9 - Prob. 9.22CYSCh. 9 - Prob. 9.23CYSCh. 9 - Prob. 9.24CYSCh. 9 - Prob. 9.25CYSCh. 9 - Prob. 9.26CYSCh. 9 - Prob. 9.27CYSCh. 9 - Prob. 9.28CYSCh. 9 - Prob. 9.29ECh. 9 - Prob. 9.30ECh. 9 - Prob. 9.31ECh. 9 - Prob. 9.32ECh. 9 - Prob. 9.33ECh. 9 - Prob. 9.34ECh. 9 - Prob. 9.35ECh. 9 - Prob. 9.36ECh. 9 - Prob. 9.37ECh. 9 - Prob. 9.38ECh. 9 - Prob. 9.39ECh. 9 - Prob. 9.40ECh. 9 - Prob. 9.41ECh. 9 - Prob. 9.42ECh. 9 - Prob. 9.43ECh. 9 - Prob. 9.44ECh. 9 - Prob. 9.45ECh. 9 - Prob. 9.46ECh. 9 - Prob. 9.47ECh. 9 - Prob. 9.48ECh. 9 - Prob. 9.49ECh. 9 - Prob. 9.50ECh. 9 - Prob. 9.51ECh. 9 - Prob. 9.52E
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