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.

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Step-by-step explanation:

a. A null Hypothesis : The production line fills the cartons as per standards, that is u=32.

Alternative Hypothesis: The cartons either under filled or over filled by the production line, that is u not equal to 32.

b. At given level of significance a, the data doesn't provide sufficient evidence to support the claim that the cartons either under filled or over filled by the production line.

c. At given level of significance a, the data provides sufficient evidence to support the claim that the cartons either under filled or over filled by the production line.