Consider the following probability distribution: x 0 1 4 p1x2 1 3 1 3 1 3 a.
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Consider the following probability distribution: x 0 1 4 p1x2 1 3 1 3 1 3
a. Find m and s2 .
b. Find the sampling distribution of the sample mean x for a random sample of n = 2 measurements from this distribution.
c. Show that x is an unbiased estimator of m. [Hint: Show that E1x2 = Σxp1x2 = m.]
d. Find the sampling distribution of the sample variance s2 for a random sample of n = 2 measurements from this distribution.
e. Show that s2 is an unbiased estimator for s2 .
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Related Book For
Statistics For Business And Economics
ISBN: 9781292413396
14th Global Edition
Authors: James McClave, P. Benson, Terry Sincich
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