2) A production line operation is designed to fill cartons with laundry detergen

Question

2) 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 under-filling
or overfilling is occurring. If the sample data lead to a conclusion of under-filling 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.
b) Comment on the conclusion and the decision when H 0 cannot be rejected.
c) Comment on the conclusion and the decision when H 0 can be rejected.

Explanation / Answer

Solution:

a) H0: = 32 Specified filling weight
Ha: 32 Overfilling or underfilling exists
b) There is no evidence that the production line is not operating properly. Allow the production process to continue.  
c) Conclude # 32 and that overfilling or undcrfilling exists. Shut down and adjust the production line.

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