Elementary Statistics with MyStatLab Access Code [With CDROM]
Elementary Statistics with MyStatLab Access Code [With CDROM]
12th Edition
ISBN: 9780321890238
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 12, Problem 4CQQ
To determine

To identify: The test statistic in the given output.

To check: Whether the larger test statistics result in larger P-values, smaller P-values, or P-values are unrelated to the value of the test statistic.

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5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2
6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows: P(X=-x) = P(X = x)=p. P(X=0)= 1-2p. Show that there is equality in Chebyshev's inequality for X. This means that Chebyshev's inequality, in spite of being rather crude, cannot be improved without additional assumptions.
4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).

Chapter 12 Solutions

Elementary Statistics with MyStatLab Access Code [With CDROM]

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