M E 345
Spring 2008 Professor John M. Cimbala
Lecture 14
02/15/2008
Today, we will
:
•
Do another example problem – hypothesis testing
•
Review the pdf module:
Two Samples Hypothesis Testing
•
Do some example problems – two samples hypothesis testing
•
Do
C
a
n
d
y
Q
u
e
s
t
i
o
n
s
f
o
r
C
a
n
d
y
F
r
i
d
a
y
Example
Given
: A manufacturer claims that a strut can hold 100 kg before failing. We perform 10
tests to failure, and record the load:
•
n
= 10
(number of data points in the sample)
•
101 4 kg
x
.
=
(sample mean)
•
S
= 2.3 kg
(sample standard deviation)
To do
:
Determine if we should accept or reject the manufacturer’s claim.
Solution
:
•
The null hypothesis is stated: critical value
μ
0
= 100 kg, and the “side” is
μ
<
μ
0
(the least
likely scenario) since our
x
>
μ
0
.
•
The alternative hypothesis is
μ
>
μ
0
.

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