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Standard Deviation

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A vending machine that dispenses coffee into cups must fill the cups with 7.8oz of liquid. Before selling the vending machine to a college or business, the company tests the machine to be sure it is dispensing an average amount of 7.8oz of coffee. A sample of 20 amounts is shown below. The amount of coffee dispensed is assumed to be normally distributed with a standard deviation of 0.05 oz.
Ounces dispensed
7.78 7.79
7.82 7.82
7.87 7.84
7.80 7.82
7.80 7.78
7.83 7.75
7.85 7.83
7.84 7.73
7.82 7.87
7.81 7.88

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Solution Summary

A vending machine that dispenses coffee into cups must fill the cups with 7.8oz of liquid. Before selling the vending machine to a college or business, the company tests the machine to be sure it is dispensing an average amount of 7.8oz of coffee. A sample of 20 amounts is shown below. The amount of coffee dispensed is assumed to be normally distributed with a standard deviation of 0.05 oz.
Ounces dispensed
7.78 7.79
7.82 7.82
7.87 7.84
7.80 7.82
7.80 7.78
7.83 7.75
7.85 7.83
7.84 7.73
7.82 7.87
7.81 7.88

Solution Preview

sum (x) = summation of data = 156.33
<br><x> = average = sum(x)/n = 156.33/20 = ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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