A production line operation is designed to fill cartons with

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling.

a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line. H0: Ha:

b. Comment on the conclusion and the decision when H0 cannot be rejected. Is there evidence that the production line is not operating properly?

c. Comment on the conclusion and the decision when H0 can be rejected. Can we conclude that overfilling or underfiling exists?

Solution

Ho : mean = 32

H1 : mean not equal to 32

b) and c)

we will reject Ho when test value is greater than critical value

we will fail to reject Ho when test value is lower than critical value