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 17 new rackets at 56 psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics:
In order to conduct the test, the customer selected a significance level of
Interpret this value.
◦ The probability of making a Type II error is 0.99.
◦ There is a 1% chance that the sample will be biased.
◦ The probability of concluding that the true mean is less than 56 psi when in fact it is equal to 56 psi is only .01.
◦ The smallest value of α that you can use and still reject H
0 is 0.01.
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