The Gordon Beverage Company Bottles Soft Drinks Using an Automatic

question 139

Essay

The Gordon Beverage Company bottles soft drinks using an automatic filling machine. When the process is running properly, the mean fill is 12 ounces per can. The machine has a known standard deviation of 0.20 ounces. Each day, the company selects a random sample of 36 cans and measures the volume in each can. They then test to determine whether the filling process is working properly. The test is conducted using a 0.05 significance level. Using the test statistic approach, what conclusion should the company reach if the sample mean is 12.02 ounces? What type of statistical error may have been committed?

---

Definitions:

Methadone

A heroin replacement used to treat heroin addicts, often to reduce the craving after initial withdrawal symptoms have abated. Methadone therapy appears to work best in conjunction with good individual and group psychological intervention programs, as well as ongoing peer support.

Morphine

A powerful opiate analgesic drug derived from the opium poppy, used to relieve severe pain.

Ergot

A fungus that grows on rye and other grains, known for producing substances used in medications and historically linked to episodes of mass poisoning.

Control

The power to influence or direct people's behavior or the course of events.