In: Statistics and Probability
In the 2015 AFC Championship game, there was a charge the New England Patriots deflated their footballs
for an advantage. The balls should be inflated to between 12.5 and 13.5 pounds per square inch. The actual
measurements for this game are listed below.
11.50 10.85 11.15 10.70 11.10 12.60 12.55 11.10 10.95 10.50 10.90
Use a significance level to test the claim that the population mean is less than 12.5 psi. State
clearly whether the Patriots’ balls are deflated or not. (You may treat the measurements as a random
sample from a normal population.)
a) Calculate the sample mean and the sample standard deviation .
b) State the hypotheses.
d) Find the P-value and the critical value(s). Label the value(s) you found on the sketches below.
e) State the initial conclusion regarding the null hypothesis .
f) State the final conclusion in your own words that addresses the original claim.