STAT 200 B1 Exam 2
April 7, 2010
1
Name _____________________________________
Netid _________________
Show all work in your answer booklet. There are 5 problems total.
1. Sonnets by a certain poet are known contain an average of μ = 8.9 new words (words
not used in the poet’s other works). The standard deviation is
σ
= 2.5. A new manuscript
with 6 sonnets has been discovered. The new sonnets contain an average of
x
= 10.2
words not used in the poet’s known works. Expecting a new author to use more new
words, we test:
9
.
8
:
9
.
8
:
0
=
μ
a
H
H
Give the z statistic and find its Pvalue. What do you conclude about the authorship of the
new poems?
2. Eight nonobese adults, aged 25 to 36 years were fed 1000 calories per day in excess of
the calories needed to maintain a stable body weight. The subjects maintained this diet
for 8 weeks. Here are the weight gains (in kilograms) for the 8 subjects:
6.0 3.9 6.4 3.9 4.8 6.7 3.6 6.0
a)
Compute the sample mean and standard deviation.
b)
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 Spring '09
 Agniel
 Statistics, Normal Distribution, Standard Deviation

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