1. Suppose that X 1 , X 2 and X 3 are i.i.d (i.e. independent
and identically distributed) random
variables each with mean and variance . Which of the following
three point estimators of is the “best”
point estimator? Justify your answer.
2.The mean annual salary for flight attendants is about $65,700
and the standard deviation is
$14,500. A random sample of 100 flight attendants is selected from
this population.
What is the probability that the mean annual salary of the sample
is
a) less than $64,250
b) greater than $69,470
c) between $64,250 and $67,875
d) Find the third quartile of the sampling distribution of the man
annual salaries.
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