Football Air Pressure During the NFL's 2014 AFC championship game officials measured the air pressure on game balls following a tip that one team's balls were under inflated. We found that the 11 balls measured for the New England Patriots had a mean psi of 11.10 (well below the legal limit) and a standard deviation of 0.40. Patriot supporters could argue that the under inflated balls were due to the elements and other outside effects. To test this the officials also measured 4 balls from the opposing team (Indianapolis Colts) to be used in comparison and found a mean psi of 12.63, with a standard deviation of 0.12. There is no significant skewness or outliers in the data. Use the t- distribution to determine if the average air pressure in the New England Patriot's balls was significantly less than the average air pressure in the Indianapolis Colt's balls. Let group 1 and group 2 be the air pressure in the New England Patriot's balls and the air pressure in the Indianapolis Colt's balls, respectively. State the null and alternative hypotheses. Ho: = T :> vs Ha: 2 1 :: p I 2 :: p A P1 :: P1 ^ P2 :: P2 :: p :: x₁

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Football Air Pressure
During the NFL's 2014 AFC championship game officials measured the air pressure on game balls following a tip that one team's balls
were under inflated. We found that the 11 balls measured for the New England Patriots had a mean psi of 11.10 (well below the legal
limit) and a standard deviation of 0.40. Patriot supporters could argue that the under inflated balls were due to the elements and other
outside effects. To test this the officials also measured 4 balls from the opposing team (Indianapolis Colts) to be used in comparison
and found a mean psi of 12.63, with a standard deviation of 0.12. There is no significant skewness or outliers in the data. Use the t-
distribution to determine if the average air pressure in the New England Patriot's balls was significantly less than the average air
pressure in the Indianapolis Colt's balls.
Let group 1 and group 2 be the air pressure in the New England Patriot's balls and the air pressure in the Indianapolis Colt's balls,
respectively.
State the null and alternative hypotheses.
Ho:
=
H
<
V
Η μ
μ1
: x2
vs Ha:
^
:: p
μ2
:: p
^
:: P1
:: P1
^
:: P₂
:: P2
r
I
:: p
x
X1
Transcribed Image Text:Football Air Pressure During the NFL's 2014 AFC championship game officials measured the air pressure on game balls following a tip that one team's balls were under inflated. We found that the 11 balls measured for the New England Patriots had a mean psi of 11.10 (well below the legal limit) and a standard deviation of 0.40. Patriot supporters could argue that the under inflated balls were due to the elements and other outside effects. To test this the officials also measured 4 balls from the opposing team (Indianapolis Colts) to be used in comparison and found a mean psi of 12.63, with a standard deviation of 0.12. There is no significant skewness or outliers in the data. Use the t- distribution to determine if the average air pressure in the New England Patriot's balls was significantly less than the average air pressure in the Indianapolis Colt's balls. Let group 1 and group 2 be the air pressure in the New England Patriot's balls and the air pressure in the Indianapolis Colt's balls, respectively. State the null and alternative hypotheses. Ho: = H < V Η μ μ1 : x2 vs Ha: ^ :: p μ2 :: p ^ :: P1 :: P1 ^ :: P₂ :: P2 r I :: p x X1
Calculate the relevant test statistic.
Round your answer to two decimal places.
t-statistic =
Find the p-value.
Round your answer to four decimal places.
p-value
=
IN
Transcribed Image Text:Calculate the relevant test statistic. Round your answer to two decimal places. t-statistic = Find the p-value. Round your answer to four decimal places. p-value = IN
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