A company that makes an athletic shoe designed for basketball has
stated in its advertisements that the shoe increases the jumping
ability of players who wear it. The general manager of a professional
team has conducted a test in which each player's vertical leap is
measured with current shoe versus the new model, with the data as
listed in file Xr11093. At the 0.05 level of significance, evaluate
the claim that has been made by the shoe company. identify and
interpret the p-value for the test. (Hypothesis test question)

Data:

Player
1
2
3
4
5
6
7
8
9
10

HtCurrent
18.9
28.8
25.1
25.4
25.0
26.0
26.2
28.7
29.1
28.9

HtNew
19.2
30.6
24.0
25.1
24.5
26.0
26.8
31.3
30.2
28.6

Hello again, wta2k,

To answer this question we need to do a repeated measures t-test (also
called a correlated t-test or a paired samples t-test).  We are asking
whether the change in the height is likely to have arisen by chance.

There is a calculator here:

http://www.fon.hum.uva.nl/Service/Statistics/Student_t_Test.html

This tells us that: t = -1.173, DF = 9, p <= 0.2716

Given that the p value, that is, the probability of the difference
having occurred, if the null hypothesis (that the shoe is not an
improvement) is greater than 0.05 (your predetermined cutoff), we
cannot accept the claim that the shoe company is making.  (We can't
really reject it, because it may be that we were unlucky, or that we
didn't have a large enough sample.)

Search strategy:
I went to this page, which I use because it has a useful collection of
links: http://members.aol.com/johnp71/javastat.html .

Please feel free to request clarification, if you feel this is needed.

jeremymiles-ga