In the 2015 AFC championship game, there was a charge the New England Patriots underinflated their footballs for an advantage. The balls should be inflated to between 12.5 and 13.5 pounds per square inch. The accompanying data consists of eleven of the twenty-two measurements on the Patriots' footballs. Complete parts a and b. 11.50 11.00 11.85 11.35 11.15 11.60 11.55 11.10 11.95 10.70 12.30 D a. Test the hypothesis that the population mean is less than 12.5 psi using a significance level of 0.05. State clearly whether the Patriots' footballs are underinflated or not. Assume the conditions for a hypothesis test are satisfied. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u= 12.5 Ha: u# 12.5 O B. H, u= 12.5 H3: u> 12.5 OC. Ho: u# 12.5 H3 u= 12.5 O D. Ho: H= 12.5 H3i u< 12.5 O E. H, p> 12.5 H, us 12.5 OF. Ho H<125 H, u2 12.5 The test statistic is (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.)
In the 2015 AFC championship game, there was a charge the New England Patriots underinflated their footballs for an advantage. The balls should be inflated to between 12.5 and 13.5 pounds per square inch. The accompanying data consists of eleven of the twenty-two measurements on the Patriots' footballs. Complete parts a and b. 11.50 11.00 11.85 11.35 11.15 11.60 11.55 11.10 11.95 10.70 12.30 D a. Test the hypothesis that the population mean is less than 12.5 psi using a significance level of 0.05. State clearly whether the Patriots' footballs are underinflated or not. Assume the conditions for a hypothesis test are satisfied. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u= 12.5 Ha: u# 12.5 O B. H, u= 12.5 H3: u> 12.5 OC. Ho: u# 12.5 H3 u= 12.5 O D. Ho: H= 12.5 H3i u< 12.5 O E. H, p> 12.5 H, us 12.5 OF. Ho H<125 H, u2 12.5 The test statistic is (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.)
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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Transcribed Image Text:In the 2015 AFC championship game, there was a charge the New England Patriots underinflated their footballs for an advantage. The balls should be infilated to
between 12.5 and 13.5 pounds per square inch. The accompanying data consists of eleven of the twenty-two measurements on the Patriots' footballs. Complete
parts a and b.
11.50 11.00 11.85 11.35 11.15 11.60 11.55 11.10 11.95 10.70 12.30
.....
a. Test the hypothesis that the population mean is less than 12.5 psi using a significance level of 0.05. State clearly whether the Patriots' footballs are
underinflated or not. Assume the conditions for a hypothesis test are satisfied.
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: u= 12.5
H3: p# 12.5
О В. Но и-125
H3: u> 12.5
OC. H,: µ# 12.5
H3: u= 12.5
O D. Ho: u= 12.5
H3: u< 12.5
O E. H, u> 12.5
H3: us 12.5
O F. H, H< 12.5
H3: µ2 12.5
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.
Transcribed Image Text:Interpret the results of the test.
Since the p-value is
the significance level,
Ho- There is
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 Patriots' balls
underinflated.
b. Use the data to construct a 95% confidence interval for the mean psi for the Patriots' 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
the conclusion in part (a) because the value 12.5 is
the confidence interval.
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