The quality control department of Cool Cola tested the bottle fillers and found them to fill 500 mL bottles to a mean of 501.1 mL, with a standard deviation of 0.48 mL. The company’s standard is set at test results being within two standard deviations of the mean. a) What is the acceptable range of fills? b) Why would the company want to overfill the bottles? c) Three bottles of Cool Cola were tested for fill volume. Which are acceptable? i) 501.0 mL ii) 502.1 mL iii) 500 mL

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The quality control department of Cool Cola
tested the bottle fillers and found them to
fill 500 mL bottles to a mean of 501.1 mL,
with a standard deviation of 0.48 mL. The
company’s standard is set at test results being
within two standard deviations of the mean.
a) What is the acceptable range of fills?
b) Why would the company want to overfill
the bottles?
c) Three bottles of Cool Cola were tested
for fill volume. Which are acceptable?
i) 501.0 mL ii) 502.1 mL
iii) 500 mL

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