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the 2015 AFC Championship​ game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The​ Patriots' opponents during the championship game were the Indianapolis Colts.

the 2015 AFC Championship​ game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The​ Patriots' opponents during the championship game were the Indianapolis Colts.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In the 2015 AFC Championship​ game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The​ Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the​ Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch​ (psi). The accompanying data consists of six of the eight measurements on the​ Colts' footballs. Complete parts​ (a) and​ (b) below. 
12.75, 12.50, 12.15, 12.35, 12.55, 12.30
 
The test statistic is  =    ​(Round to two decimal places as​ needed.)
The​ p-value is  =           ​(Round to three decimal places as​ needed.)
 
b. Use the data to construct a​ 95% confidence interval for the mean psi for the​ Colts' footballs. How does this confidence interval support your conclusion in part​ (a)?
 
The 95​% confidence interval is ___ psi to ___ psi.
​(Round to two decimal places as needed. Use ascending​ order.)
In the 2015 AFC Championship game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch (psi). The accompanying data consists of six of the eight measurements on the Colts' footballs. Complete parts (a) and (b) below. 12.75 12.50 12.15 12.35 12.55 12.30 The test statistic is (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is V the significance level, Ho. There is V evidence to conclude that the population mean is less than 12.5 psi at a significance level of 0.05. Using only the given measurements, it appears that the Colts' balls underinflated. b. Use the data to construct a 95% confidence interval for the mean psi for the Colts' footballs. How does this confidence interval support your conclusion in part (a)?
Transcribed Image Text:In the 2015 AFC Championship game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch (psi). The accompanying data consists of six of the eight measurements on the Colts' footballs. Complete parts (a) and (b) below. 12.75 12.50 12.15 12.35 12.55 12.30 The test statistic is (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is V the significance level, Ho. There is V evidence to conclude that the population mean is less than 12.5 psi at a significance level of 0.05. Using only the given measurements, it appears that the Colts' balls underinflated. b. Use the data to construct a 95% confidence interval for the mean psi for the Colts' footballs. How does this confidence interval support your conclusion in part (a)?
In the 2015 AFC Championship game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch (psi). The accompanying data consists of six of the eight measurements on the Colts' footballs. Complete parts (a) and (b) below. 12.75 12.50 12.15 12.35 12.55 12.30 Interpret the results of the test. Since the p-value is v the significance level, V Ho. There is V evidence to conclude that the population mean is less than 12.5 psi at a significance level of 0.05. Using only the given measurements, it appears that the Colts' balls underinflated. b. Use the data to construct a 95% confidence interval for the mean psi for the Colts' footballs. How does this confidence interval support your conclusion in part (a)? The 95% confidence interval is psi to psi. (Round to two decimal places as needed. Use ascending order.) The confidence interval v the conclusion in part (a) because the value 12.5 V between the upper and lower bounds of the confidence interval.
Transcribed Image Text:In the 2015 AFC Championship game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch (psi). The accompanying data consists of six of the eight measurements on the Colts' footballs. Complete parts (a) and (b) below. 12.75 12.50 12.15 12.35 12.55 12.30 Interpret the results of the test. Since the p-value is v the significance level, V Ho. There is V evidence to conclude that the population mean is less than 12.5 psi at a significance level of 0.05. Using only the given measurements, it appears that the Colts' balls underinflated. b. Use the data to construct a 95% confidence interval for the mean psi for the Colts' footballs. How does this confidence interval support your conclusion in part (a)? The 95% confidence interval is psi to psi. (Round to two decimal places as needed. Use ascending order.) The confidence interval v the conclusion in part (a) because the value 12.5 V between the upper and lower bounds of the confidence interval.
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