A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the

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 20 new rackets at
59 psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following
summary statistics: x = 58 psi, s = 3.7 psi. In order to conduct the test, the customer selected a significance level of a = .01. Interpret this value.
A) There is a 1% chance that the sample will be biased.
B) The smallest value of �� that you can use and still reject H0 is .01.
C) The probability of making a Type II error is .99.
D) The probability of concluding that the true mean is less than 59 psi when in fact it is equal to 59 psi is
only .01.

The correct interpretation of the significance level of a = .01 is:

D) The probability of concluding that the true mean is less than 59 psi when in fact it is equal to 59 psi is only .01.

The significance level (alpha) represents the maximum probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. In this case, the null hypothesis would be that the pro shop strings rackets at the requested tension (59 psi) on average.

By choosing a significance level of a = .01, the customer is saying they are willing to accept a 1% chance of making a Type I error. So, if the true mean tension is indeed 59 psi and the customer's claim is not supported, there is only a 1% probability that the customer will incorrectly conclude that the true mean tension is lower than 59 psi.