#2
Area 0.8997
Z = 1.28
#3
Area
0.1010
closest corresponding z value: z =  1.27
Closest Area = 0.1020
#4
Alpha area: 0.10
Sample size: 76
Degree of freedom: 75
tvalue: 1.665
#5
1. Find the area for X
R
2
∝
/2 = 0.025
n = 23
df = 231 = 22
X
R
2
= 36.781
2. Find the area for X
L
2
∝
/2 = 0.995
1
∝
/2 = 1 0.995 = 0.005
df = 28
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X
L
2
= 50.993
#6
Chapter 8: Hypothesis Statements
H
o
is nearly always the Original Claim
.
H
1
is always what is being tested or the Alternate Hypothesis.
Establishing H
0
and H
1
depends upon the wording of the problem.
You need to know that the number of tails depends on your H
0
and H
1
values.
For example:
Any time you see equal signs (
=
or
≠
) you should automatically know that the
tests are twotailed.
If H
0
μ = x, then H
1
is μ ≠ x
The ttests will have twotails (have two extremes). You are testing to see if the
test mean (H
1
) is has extreme outliers, either greater than or lesser than (not
equal to) the expected original mean (H
0
). This type of test is used when we
really need to know if the test samples are close to the expected mean. For
example, the chemical content of pills must be very close t
o what we expect
them to be. If medications contain too much of the active ingredient then we
might have some serious side effects and if pills do not have enough of the active
ingredient then we might not gain any benefit from taking the pill.
Whenever you see a
<, ≤
or
>, ≥
sign, then the tests will be onetailed.
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 Spring '09
 MoSeKim
 Statistics, H1

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