The makers of Mini-Oats Cereal have an automated packaging machine that can be set at any targeted
Question:
The makers of Mini-Oats Cereal have an automated packaging machine that can be set at any targeted fill level between 12 and 32 ounces. At the end of every shift (eight hours), 16 boxes are selected at random and the mean and standard deviation of the sample are computed. Based on these sample results, the production control manager determines whether the filling machine needs to be readjusted or whether it remains all right to operate. Previous data suggest the fill level has a normal distribution with a standard deviation of 0.65 ounces. Use a 0.05. The test is a two-sided test to determine if the mean fill level was equal to 24 ounces.
a. Calculate the probability that the test procedure will detect that the average fill level is not equal to 24 ounces when in fact it equals 24.5 ounces.
b. On the basis of your calculation in part
a, would you suggest a change in the test procedure? Explain what change you would make and the reasons you would make this change.
Step by Step Answer:
Business Statistics A Decision Making Approach
ISBN: 9780136121015
8th Edition
Authors: David F. Groebner, Patrick W. Shannon, Phillip C. Fry, Kent D. Smith