A Soft Drink Filling Machine, When in Perfect Adjustment, Fills $\alpha$

question 18

Essay

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
a.Formulate the hypotheses to test to determine if the machine is in perfect adjustment.
b.Compute the value of the test statistic.
c.Compute the p-value and give your conclusion regarding the adjustment of the machine. Let $\alpha$ = .05.

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Definitions:

Tunica Media

Middle, usually muscular, coat of an artery or another tubular structure.

Capillary Beds

Networks of capillaries, the smallest blood vessels, that facilitate the exchange of water, oxygen, carbon dioxide, and many other nutrients and waste substances between blood and tissues.

Precapillary Sphincters

Circular muscular valves located at the entrance of capillary beds, controlling blood flow into those beds.

Thoroughfare Channels

In traditional Chinese medicine, energy pathways that allow Qi and blood to circulate throughout the body, connecting different organs and bodily functions.