Prepare the hypotheses and identify the type of error.

Suppose you are the manager of a paint manufacturing factory.  Your company has received complaints from customers that the containers hold less than the amount printed on them.  On the other hand, corporate management is concerned that the containers hold more than the standard amount.  You assign a statistician to verify the claims by the customers and the corporate management.  A sample of containers was selected and the volume of paint in each container was measured.  Assume that volume printed on each container is 1 gallon, how would you formulate the null and alternative hypotheses to test the customers\' claim?  That of the corporate management?  Both customers and corporate management?  As a manager, what reasonable criteria will you use to set a value for the level of importance to be used in the test?  Presume you arrive at the decision that there is not enough evidence to reject the null hypothesis, could you have made a mistake?  What type of error would result in that case?  Respond to at least two of your classmate's postings.