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 ther- 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 I 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.

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Find value of test statistic using unequal variance assumption
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 ther-
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.
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 ther- 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.
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