A Paint Manufacturer Fills Cans of Paint Using a Machine

question 15

Multiple Choice

A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average  of 1 gallon (128 ounces) each. To test whether their machine has come out of calibration, the manufacturer takes a random sample of 25 cans and finds that they average 128.2 ounces with a standard deviation of 2 ounces. Is this strong evidence that the filling machine is set too high and thus is no longer calibrated properly?
What is the P-value for this significance test?

• A) 0.0287
• B) 0.3085
• C) 0.5000
• D) 0.6915
• E) 0.9713

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Definitions:

Endotracheal Tube

is a flexible tube inserted through the mouth into the trachea (windpipe) to maintain an open airway, facilitate ventilation, and administer anesthetic gases during surgery.

Mechanical Ventilator

A medical device that provides mechanical breathing support to patients who are unable to breathe adequately on their own.

Auscultate

To listen to the internal sounds of the body, typically using a stethoscope, as part of a medical examination.

Tracheostomy Ties

Bands or ties used to secure a tracheostomy tube to a patient's neck, ensuring the tube remains in place for proper breathing support.