Question

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

Let mu denote the population mean of weight of detergent in a carton from the production line. Develop the null and alternative hypotheses. Which one of the following is correct.

Answer 1

0 Solution ' Cricun that to a mium 32 ounces. A Ho :mu > 32 Htmu< 32. you tathe "shich

Answer 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 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.
H 0:  Selectgreater than or equal to 32 oz.greater than 32 oz.less than or equal to 32 oz.less than 32 oz.equal to 32 oz.not equal to 32 oz.Item 1 
H a:  Selectgreater than or equal to 32 oz.greater than 32 oz.less than or equal to 32 oz.less than 32 oz.equal to 32 oz.not equal to 32 oz.Item 2 

b.  Comment on the conclusion and the decision when H 0 cannot be rejected. Is there evidence that the production line is not operating properly? SelectYes; adjust the production lineNo; allow production to continueItem 3 

c.  Comment on the conclusion and the decision when H 0 can be rejected. Can we conclude that overfilling or underfiling exists? SelectYes; adjust the production lineNo; allow production to continueItem 4