In: Statistics and Probability
An engineering group is testing a new curing method for steel beams to improve their tensile strength. The tensile strength for the steel beams it currently uses averages 58 pounds per square inch (psi). A random sample of 36 beams cured with the new method showed an average tensile strength of 63 psi with a standard deviation of 8.1 psi.
a. Test at the 2.5% significance level if the curing process increases the tensile strength of the steel beams.
b. What does a Type II error mean in the context of this application?