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Consider the Following to Answer the Question(s) Below

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Consider the following to answer the question(s) below:
The Dispenser Right Company makes a soft drink dispensing machine used in many fast food restaurants. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by a particular machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:
Consider the following to answer the question(s)  below: The Dispenser Right Company makes a soft drink dispensing machine used in many fast food restaurants. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by a particular machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:    -In order to be 99% accurate to within 0.02 ounces, what sample size would be needed if the sample standard deviation is 0.18? A)  538 B)  23 C)  11 D)  1159 E)  440
-In order to be 99% accurate to within 0.02 ounces, what sample size would be needed if the sample standard deviation is 0.18?

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Definitions:

Pressure

the feeling of psychological strain and stress, often arising from external sources that demand high performance or coping.

Vestibular System

The sensory system that provides the leading contribution to the sense of balance and spatial orientation for the purpose of coordinating movement with balance.

Gustatory System

The gustatory system is responsible for the sensation of taste, and it involves the taste buds on the tongue and other related neural structures.

Somatosensory System

The part of the sensory system concerned with receiving and processing sensory information from across the body, such as touch, temperature, and pain.

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