Exam
Name___________________________________
SHORT ANSWER.
Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
1)
Consider the probability distribution shown here.
x
6
8
10
p(x)
1
3
1
3
1
3
Let s
2
be the sample variance for a random sample of n = 2 measurements from this
distribution. Show that s
2
is an unbiased estimator for
s
2
.
1)
2)
Consider the population described by the following probability.
x
22 24 26
P(x) .5 .3 .2
The random variable x is observed twice. Consider the observations to be independent and
fill out the following table for the sampling distribution of the sample mean
_
x .
_
x
Probability
2)
3)
The weight of corn chips dispensed into a 10ounce bag by the dispensing machine has
been identified as possessing a normal distribution with a mean of 10.5 ounces and a
standard deviation of .2 ounces. Suppose 100 bags of chips were randomly selected from
this dispensing machine. Find the probability that the sample mean weight of these 100
bags exceeded 10.45 ounces.
3)
MULTIPLE CHOICE.
Choose the one alternative that best completes the statement or answers the question.
4)
Which piece of information listed below does the Central Limit Theorem allow us to disregard
when working with the sampling distribution of the sample mean?
A) The standard deviation of the population
B) The shape of the population distribution curve
C) The mean of the population
D) All can be disregarded when the Central Limit Theorem is used.
4)
1
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SHORT ANSWER.
Write the word or phrase that best completes each statement or answers the question.
5)
A university is considering a change in the way students pay for their education.
Presently, the students pay $16 per credit hour. The university is contemplating charging
each student a set fee of $240 per quarter, regardless of how many credit hours each takes.
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 Summer '08
 Hall
 Normal Distribution, Statistical hypothesis testing

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