MATH11400
Statistics 1
200809
Homepage http://www.maths.bris.ac.uk/
∼
maejc/stats1/intro.html
Problem Sheet 9
Remember: when online, you can access the Statistics 1 data sets from an
R
console by typing
load(url("http://www.maths.bris.ac.uk/˜maejc/stats1/stats1.RData"))
Note: for each of the following questions your answer should include a statement of any model
assumptions, a brief description of your working at each stage of the test procedure including the
approximate
p
value and the critical region for the test, and a summary of your conclusions. You
may find it helpful to check your numerical calculations using the
t.test()
function in R.
*1. Eight athletes ran a 400 metre race at sea level and at a later meeting ran a 400 metre race
at high altitude.
Their times in seconds are shown in the table below.
Test at the null
hypothesis that race times are unaffected by altitude, against the alternative that race times
are greater at high altitude using a test procedure with significance level
α
= 0
.
05
. The data
is contained in the Statistics 1 data sets
runner.sea
and
runner.high
respectively.
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 Fall '09
 SeanCollins
 Statistics, Sets, Null hypothesis, Handedness, data sets

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