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MTH 1210 Biostatistics
Apr 21’10
Homework #13 (student’s version)
(
Hypothesis Testing
)
See the handouts #
15, 15a, 15b.
Use
the
MS
Excel
program
Hypothesis_Testing_for_the_Mean.xls
or the calculator TI83plus (or equivalent); see
also other problems in the textbook on pgs 232234.
Solving the problems remember that
what we hope or expect to be able to conclude
as a result of the hypothesis testing usually should be placed in the
alternative
hypothesis H
A
.
Formulate at first the alternative hypothesis
H
A
and then the
null
hypothesis
H
0
which should be
complementary
to
H
A
. Then, choose the appropriate
z
 or
t
statistic and sheet in the aforementioned Excel program: if the population standard
deviation
σ
is known or if
σ
is unknown but the sample size
n > 30
, use
z
statistic (sheet
1
); if
σ
is unknown and the sample size
n ≤ 30
then use
t
statistic (sheet
2
). Click the tab
<Sheet 1> or <Sheet 2> in the lower left corner of MS Excel screen, find the block of
cells
that corresponds to your hypotheses
H
0
and
H
A
and enter the data only in the data
entry cells belonging to the
B

column.
1.
(7.2.1) Escobar et al. (A3) performed a study to validate a translated version of the
Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC)
questionnaire used with Spanishspeaking patients with hip or knee osteoarthritis. For the
76
women classified with severe hip pain, the WOMAC mean function score (on the
scale from 0 to 100 with a higher number indicating less function) was
70.7
with a
standard deviation of
14.6
. We wish to know if we may conclude that the mean function
score for a population of similar subjects with severe hip pain is less than
75
. Let
α =
0.01.
ONESided Hypothesis Test with z
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 Spring '05
 Kzaer
 Statistics, Biostatistics

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