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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: = T :> vs Ha: 2 1 :: p I 2 :: p A P1 :: P1 ^ P2 :: P2 :: p :: x₁

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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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