17. Muscle strength declines as we grow old. Preliminary evidence suggests that part of this loss of muscle strength may be due to a deficiency of chemical X. Investigators plan a randomized trial to administer chemical X or identical placebo for 5 months to elderly subjects and then measure muscle strength. Previous studies report a mean grip strength in elderly persons of 20 kg with a SD of 5 kg. Assuming alpha (2-sided) = 0.05 and beta = 0.10. How many subjects would be required to demonstrate a 10% or greater difference between strength in the treated and placebo groups? What is the sample size?

MATLAB: An Introduction with Applications
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17. Muscle strength declines as we grow
old. Preliminary evidence suggests that
part of this loss of muscle strength may be
due to a deficiency of chemical X.
Investigators plan a randomized trial to
administer chemical X or identical placebo
for 5 months to elderly subjects and then
measure muscle strength. Previous
studies report a mean grip strength in
elderly persons of 20 kg with a SD of 5 kg.
Assuming alpha (2-sided) = 0.05 and beta
= 0.10. How many subjects would be
required to demonstrate a 10% or greater
difference between strength in the treated
and placebo groups?
What is the sample size?
Transcribed Image Text:17. Muscle strength declines as we grow old. Preliminary evidence suggests that part of this loss of muscle strength may be due to a deficiency of chemical X. Investigators plan a randomized trial to administer chemical X or identical placebo for 5 months to elderly subjects and then measure muscle strength. Previous studies report a mean grip strength in elderly persons of 20 kg with a SD of 5 kg. Assuming alpha (2-sided) = 0.05 and beta = 0.10. How many subjects would be required to demonstrate a 10% or greater difference between strength in the treated and placebo groups? What is the sample size?
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