Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of its chemical process from the historical process mean of 750 pounds per hour. When five trial runs are made using the new catalyst, the following yields (in pounds per hour) are recorded: 801, 814, 784, 836, and 820. Assume the chemical yields are normally distributed.
a. Set up the null and alternative hypotheses.
b. Use the traditional method of hypothesis testing to make a decision.
c. State a conclusion.
d. What is the Type II error in this situation?
e. What are the consequences of making a Type II error (briefly discuss at least one practical consequence of making this type of error)?