Heinz, a manufacturer of ketchup, uses a particular machine to dispense 16 ounces of the ketchup into containers. From many years of experience with the particular machine, they know that each container follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.15. A sample of 50 containers filled last hour revealed the mean amount per container was 16.017 ounces. Does this evidence suggest that the mean amount dispensed is different from 16 ounces? Use the .05 significant level. Answer these questions.
a) What are the null hypothesis and the alternative hypothesis?
b) What is the decision rule?
c) What is the test statistics?
d) What is your decision?