Sample Size Appropiate

Given:

A plastic injection molding unit is generating consumer grade keyboard shells.

bullet The chief engineer suspects that a number of factors are affecting the overall weight of the shell.

bullet The shipping manager has a concern that due to international freight shipping, If the cumulative weight of 10,000 shells is off by more than 500 lbs, it results in wasted fixed costs of shipping units.

bullet Each test sample results in an overall cost to the company of $500.

Find:

1.  You have been asked to determine if a budget of $20,000 is adequate to address the shipping manager's concerns.

2. What is the largest number of factors you could tell the CE she can test in a 2k Balanced Full Factorial Experiment within the given budget?

Assumptions:

bullet Risk of making a Type l error should be no more than 10%.

bullet Risk of making a Type II error should be no more than 10%.

bullet Population standard deviation is 0.02 lbs.