Name
Quiz #3
MAT109
Date
SUBMIT COMPLETED TESTS VIA WEBCT EMAIL  NOT THE DISCUSSION ROOM.
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1)
Given a set of test scores is normally distributed with μ=75.0 and
σ
=8.0, determine:
a)
P(X>65.0) = .105649839
8/
65 = .992278 = 1 .992278 = .89435
√
b)
P (67.0<X<80.6) = .5993811623
2)
Given a set of test scores is normally distributed with μ=75.0 and
σ
=8.0, determine:
a)
Q
1
(the value of the first quartile) = 69.604082
1 69.604 = 68.604
b)
the endpoints of the middle 92% of the scores = 60.99451143
96% = 89.00548857
3)
a)State the “Central Limit Theorem.”
(You will need to know this theorem on the final exam.)
Technically it is a thermo that the distribution of sample means taken from a large population
approaches a normal curve.
The book says it is regardless of the shape of the population, the
sampling distribution of
x
becomes approximately normal as the sample size n increases.
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 Spring '09
 Kurose
 Normal Distribution, Standard Deviation, confidence interval estimate

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