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Chapter 6, Section 4-HT, Exercise 217 - MathPad 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. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit Calculate the relevant test statistic. Round your answer to two decimal places. t-statistic = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.5 Find the p-value. Round your answer to four decimal places. p-value = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.0007 What is the conclusion? Reject H0. Do not reject H0. Do we have evidence to conclude that average air pressure was significantly less in Patriot's balls? Yes No

Chapter 6, Section 4-HT, Exercise 217 - MathPad 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. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit Calculate the relevant test statistic. Round your answer to two decimal places. t-statistic = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.5 Find the p-value. Round your answer to four decimal places. p-value = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.0007 What is the conclusion? Reject H0. Do not reject H0. Do we have evidence to conclude that average air pressure was significantly less in Patriot's balls? Yes No

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Chapter 6, Section 4-HT, Exercise 217 - MathPad

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. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r.

H0: vs Ha:Edit

 

 
 

 
 
 
 

Calculate the relevant test statistic.

Round your answer to two decimal places.

t-statistic = Enter your answer in accordance to the question statement
 

the absolute tolerance is +/-0.5

 

 
 
 
 

Find the p-value.

Round your answer to four decimal places.

p-value = Enter your answer in accordance to the question statement

 

the absolute tolerance is +/-0.0007

 

 
 
 
 
What is the conclusion?


 

 

 Reject H0.

 

 Do not reject H0.
 
 
 

 
 
 
 
Do we have evidence to conclude that average air pressure was significantly less in Patriot's balls?


 

 

 Yes

 

 No
 


 
 
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