A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by a customer. Recently, a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 14 new rackets at 55 psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics: x-bar = 52 psi, s = 2.6 psi. In order to conduct the test, the customer selected a significance level of = 0.05.

a)Interpret the value of = 0.05 in the above context.

b)Set up the null and alternative hypotheses for testing the claim

Do you have sufficient evidence to reject the null hypothesis?