(20 pts.) The specifications for a certain kind of metal strap call for a mean break strength of 18,500 pounds. From a random sample of six (6) such metal straps, the data produces a mean of 17,848 pounds with a standard deviation of 793 pounds.

State using statistical notation what the correct null and alternative hypotheses are if there were concerns that the break strength was not meeting standards. Provide in terms of this problem an explanation of a Type 1 error. What is the power of your test if the true mean break strength is 17,370 pounds?