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Project 11 chapter 11
20 points
KEY
Name____________
ID# _______________
A.)
A study is conducted to investigate the effect of physical exercise on the serum cholesterol level of
the individual.
It is thought that regular exercise will reduce the level of cholesterol in the blood.
Blood
samples are taken on 11 individuals before and after training.
The results are:
Subject
Pretraining
Posttraining
cholesterol
level
cholesterol
level
1
182
198
2
232
210
3
191
194
4
200
220
5
148
138
6
249
220
7
276
219
8
213
161
9
241
210
10
380
313
11
262
226
Does the exercise program reduce the serum cholesterol level?
Let the level of significance be 0.05.
1.)
Question:
What type of experimental design is this? Why?
Matched pairs design.
One
subject two treatments.
2.)
Define the parameter(s)
:
μ1
is the mean cholesterol level for the post training and
μ2
is the
mean cholesterol level for the pre training;
μd
is the mean(cholesterol level for the post training – cholesterol level for the pretraining)
3.)
State the Null _______
μd
= 0_____________
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View Full Document State the alternative: __
μd
< 0 ______________
4.)
Verify the assumptions:
Define the difference as the post training cholesterol level – pretraining cholesterol level
Anderson – Darling GoodnessofFit normality test pvalue = .852
implies that the differences
are sampled from a population that is normally distributed.
No outliers in the data.
5.)
State the decision Rule:
If the pvalue <
α
, then reject the Null hypothesis (
μd
= 0)
6.) State the conclusion in the context of the exercise:
Paired TTest and CI: Post, Pre
Paired T for Post  Pre
N
Mean
StDev
SE Mean
Post
11
209.9
43.7
13.2
Pre
11
234.0
61.4
18.5
Difference
11
24.09
28.99
8.74
95% upper bound for mean difference: 8.25
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This note was uploaded on 05/17/2010 for the course MATH 246 taught by Professor Applebaugh during the Spring '10 term at University of Arkansas Community College at Morrilton.
 Spring '10
 Applebaugh
 Statistics

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