Mathematics, 25.01.2021 06:30 khan2491
Does Peyton Manning have a greater
passing ability in domes? After all,
inside a dome the weather is always
nice for throwing the ball! The
accompanying relative frequency
histograms show Manning’s 18 career
road performances inside a dome and
his 86 career performances outside
(through the 2010 season). In this
case, his performance is measured
with his passer rating, a combination
or passing yards, completion
percentage, number of touchdowns,
and number of interceptions. Only
road games are included because
Manning plays his home games in a dome and the benefit of playing in a dome would be impossible to separate
from the benefit of playing at home.
a. Briefly compare these distributions.
b. State the hypotheses we are interested in testing.
c. Manning’s mean passer rating in domes was 109.3 and his mean passer rating outside was 89.8, for a
difference (dome – outside) of 19.5. Describe how to simulate the distribution of this test statistic, assuming
that Manning’s ability is the same in both locations.
d. Here are the results of 100 trials of the simulation from part c. Describe what information is provided by the
dotplot.
e. Use the dotplot to estimate and interpret the p-value.
f. Using the p-value from part e, make an appropriate conclusion.
g. Is there is convincing evidence that Manning had a greater ability in domes, can we conclude that the dome is
the cause? Explain.
Answers: 3
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Does Peyton Manning have a greater
passing ability in domes? After all,
inside a dome the wea...
inside a dome the wea...
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