Engineering Statistics Review For Exam (Page 4 of 4) in pdf

Engineering Statistics Review For Exam Page 4

Problem #9

A cola dispensing machine at XYZ company dispenses 9 ounce cups of cola. An employee of

XYZ thinks that the machine is cheating consumers. A random sample of 50 cups has a mean of

8.7 ounces and a standard deviation of 0.5 ounces.

A. Construct a 95% confidence interval for the average amount of cola dispensed by this

machine. USE THE APPROPRIATE STEPS.

B. Construct a 95% prediction interval for the amount of cola in the next cup dispensed by this

machine. Write a sentence interpreting your result. SHOW YOUR WORK.

C. Obtain an interval for which you are 95% confident will contain 99% of all amounts of cola

dispensed by this machine. Write a sentence interpreting your result. SHOW YOUR WORK.

D. Which, if any, of the intervals you obtained confirm the employee’s suspicion? EXPLAIN.

Engineering Statistics Review For Exam Page 4