Soft Drinks a Restaurant Owner Wanted to Improve the Efficiency

question 59

Essay

Soft drinks A restaurant owner wanted to improve the efficiency of his employees. One way he tried to do this was to buy a machine that will automatically dispense 16 oz. of soda into a glass rather than have the employee hold the button on the dispenser. The actual amount dispensed by the machine can be represented by the model N(16.2, 0.3)
a. Draw and clearly label the model.
b. The sales representative who sold him the machine said, "95% of the glasses you fill with soda will fall between _________ and _________." Fill in the blanks based on the normal model, then comment on this claim.
c. What is the 3rd quartile of amounts dispensed?
d. If a glass will actually hold 16.7 oz. of soda, what percent of the time would you expect the glass to overflow?
e. The manufacturer wants to reduce the overflow rate to only 1%. Assuming the mean amount dispensed will stay the same, what standard deviation must they achieve?
f. Briefly explain what that change in standard deviation means in this context.
g. A competing manufacturer says that not only will 98% of their glasses be safe from overflowing, but 70% will have more than 16 oz., reducing customer complaints. What Normal model parameters is that manufacturer claiming? Show your work.

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Definitions:

Application Analysis

The process of examining and evaluating the features, functionality, and performance of software applications.

Media Industry

A sector comprising companies and entities that produce and distribute content through various platforms such as television, radio, internet, and print.

Influencing

The act of impacting or swaying the behaviors, beliefs, or opinions of others through various means, often seen in contexts such as social media.

Changes

The process through which something becomes different or the act of making something different.