A medical group is developing a new diabetes therapy that they
hope will lower a patient's
A1c measurement. They have a control group of 137 patients with a
mean A1c of 8.43 and a
sample standard deviation of sc = 1:78. The researcher would like
to compare these numbers
to a treatment group. The A1c measurements for the 5 subjects in
the treatment group were
4.9 5.2 6.8 8.7 9.1
We will assume that these measurements are independent and the
variance in both groups
is the same. We want to test if the mean of A1c measurements in the
treatment group is
signicantly lower.
(a) Calculate an estimate of the variance of the A1c
measurements.
(b) Calculate the appropriate test statistic for this test.
(c) What is the distribution of the test statistic under the null
hypothesis? How many degrees
of freedom does it have?
(d) Use a large sample approximation to nd a P value for this
test.
(e) What do we conclude about the eectiveness of the
medication?
Homework Answers
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A medical group is developing a new diabetes therapy that they
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