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MATH 218 SI Session (Fall 2008)
Week 15 Worksheet (12/01 – 12/07)
SI Leader: Joy Chen
zuoyiche@usc.edu
Prof. Lin & Prof. Song
www.usc.edu/si
Topics Reviewed: Hypothesis Testing, Discrete & Continuous Distributions
1.
The Brown Kow Dairy sells containers of milk. These containers are stamped with an
expiration date; those containers not sold by the expiration date are discarded. Brown Kow
claims that on average, milk can be kept for at least 14 days past the expiration date before
going bad. To test this claim, government inspectors decided to keep 30 containers and record
how long past its expiration date it takes each container to go bad.
a.
Formulate the null and alternative hypotheses
H
0
and
H
a
for this test.
b.
Choose a test statistic for the test, and give a rejection rule at the 5% level of
significance.
c.
The inspectors find that the average time it took the 30 containers to go bad was 13
days, with a sample standard deviation
s
= 2
.
1 days. What is the inspectors’ conclusion?
Show your work.
d.
What can you say about the Pvalue for this test (circle one)? Show your work.
i.
The Pvalue is less than 0
.
01.
ii.
The Pvalue is between 0
.
01 and 0
.
025.
iii.
The Pvalue is between 0
.
025 and 0
.
05.
iv.
The Pvalue is between 0
.
05 and 0
.
1.
v.
The Pvalue is greater than 0
.
1.
2.
One of the largest firms making and marketing popular music has changed its manager
responsible for acquiring new musical talent. In the past, at least 35% of recording contracts
have resulted in hits. The higherlevel executives wish to find out if this proportion has
decreased with the new manager. They decide that they will collect data on how many of the
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 Fall '08
 HE
 Math, Probability

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