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During the NFL's 2014 AFC Championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average pressure of 11.1 psi (pounds per square inch), with a standard deviation of 0.40 psi. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi? Use a 5% significance level. 15. State the hypotheses, using the correct notation. 16. Calculate the test statistic. 17. Determine the p-value by sketching the appropriate bell curve. Hint: left-, right-, or two-tail? 18. Make a decision. 19. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi?

During the NFL's 2014 AFC Championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average pressure of 11.1 psi (pounds per square inch), with a standard deviation of 0.40 psi. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi? Use a 5% significance level. 15. State the hypotheses, using the correct notation. 16. Calculate the test statistic. 17. Determine the p-value by sketching the appropriate bell curve. Hint: left-, right-, or two-tail? 18. Make a decision. 19. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi?

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
Section10.4: Distributions Of Data
Problem 3GP
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During the NFL's 2014 AFC Championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average pressure of 11.1 psi (pounds per square inch), with a standard deviation of 0.40 psi. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi? Use a 5% significance level. 15. State the hypotheses, using the correct notation. 16. Calculate the test statistic. 17. Determine the p-value by sketching the appropriate bell curve. Hint: left-, right-, or two-tail? 18. Make a decision. 19. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi?
Transcribed Image Text:During the NFL's 2014 AFC Championship game, officials measured the air pressure on 11 of the game footballs being used by the New England Patriots. They found that the balls had an average pressure of 11.1 psi (pounds per square inch), with a standard deviation of 0.40 psi. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi? Use a 5% significance level. 15. State the hypotheses, using the correct notation. 16. Calculate the test statistic. 17. Determine the p-value by sketching the appropriate bell curve. Hint: left-, right-, or two-tail? 18. Make a decision. 19. Does this provide evidence that all the footballs used by the Patriots had a mean air pressure less than the allowable limit of 12.5 psi?
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