The average weight of airline food packaging material is to be controlled so that the total weight of catering supplies does not exceed desired limits. An inspector who uses random sampling to accept or reject a batch of packaging materials uses the null hypothesis H0: μ ≤ 248 grams and an α of 10%. He also wants to make sure that when the average weight in a batch is 250 grams, β must be 5%. The population standard deviation is guessed to be 5 grams.

a. What is the minimum required sample size?

b. For the sample size found in the previous question, plot the OC curve.

c. For actual μ varying from 249 to 252 and β varying from 3% to 8%, tabulate the minimum required sample size.