TB12 Sporting Goods manufactures footballs to be used in a professional football league. After successfully relocating their facilities to Tampa, the company's owner, Mr. Brady, wants to make sure that their new factory has been consistent in their manufacturing processes. Footballs must meet the league's minimum requirements in air pressure of the footballs. The professional league states that footballs must be inated to at least 12.50 psi (pounds per square inch). A representative of the league had been suspicious of footballs from TB12, thinking that they might be underinated. Quality inspectors from the league collected a sample of 50 footballs from TB12. The sample had a mean of 12.4? psi and a standard deviation of {1.08 psi. Given that the null hypothesis Ho is [1212.50 1. At the 5% signicance level, can the league claim that the footballs from TB12 are unden'nated? Compute for the test statistic and use the critical value method ' 2. Determine whether to reject or to not reject the null hypothesis, and state your conclusion In layman 5 terms 3. Suppose the signicance level Is changed to 0.1%. Would your conclusion change? Show proof. _