A large number of rivets hold the wing of an Icarus 350 (a light aircraft model) to the fuselage. You are to conduct a spot check of the aircraft’s safety. Regulations require an average breaking strength of at least 8800 pounds for the rivets. You randomly select 100 rivets and check the breaking strength for each. The average breaking strength for the sample turns out to be only 8756 pounds, with standard deviation of 280 pounds.
a. Use the p value approach to test the null hypothesis that overall average breaking strength for the population of rivets satisfies the requirement. Use a significance level of 5%.
b. Describe what a Type I error and a Type II error would involve in this situation.
c. What would be the consequences of making a Type I error here? A Type II error?