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 theIndianapolis 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 eightmeasurements on the Colts' footballs. Complete parts (a) and (b) below.12.7512.5012.1512.3512.5512.30The 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 isV the significance level,Ho. There isV 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' ballsunderinflated.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 theIndianapolis 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 eightmeasurements on the Colts' footballs. Complete parts (a) and (b) below.12.7512.5012.1512.3512.5512.30Interpret the results of the test.Since the p-value isv the significance level,V Ho. There isV 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' ballsunderinflated.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 topsi.(Round to two decimal places as needed. Use ascending order.)The confidence intervalv the conclusion in part (a) because the value 12.5V between the upper and lower bounds of the confidence interval.

Question

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 theIndianapolis 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 eightmeasurements on the Colts' footballs. Complete parts (a) and (b) below.12.7512.5012.1512.3512.5512.30The 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 isV the significance level,Ho. There isV 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' ballsunderinflated.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 theIndianapolis 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 eightmeasurements on the Colts' footballs. Complete parts (a) and (b) below.12.7512.5012.1512.3512.5512.30Interpret the results of the test.Since the p-value isv the significance level,V Ho. There isV 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' ballsunderinflated.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 topsi.(Round to two decimal places as needed. Use ascending order.)The confidence intervalv the conclusion in part (a) because the value 12.5V between the upper and lower bounds of the confidence interval.

Accepted Answer

Given that

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.