Dasani has two machines at a particular plant that are used for filling their plastic water bottles (nominal volume 16 ounces). The quality engineering department tells the plant manager that both machines fill to the same net volume (whether or not this volume averages 16.0 ounces). A random sample is taken from the output of the each machine. Table 1-Measured volume of water per bottle (fluid ounces) Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 Do you think the quality engineering department is correct? Derive your answer from a complete hypothesis testing process.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Dasani has two machines at a particular plant that are used for filling their plastic water bottles (nominal
volume 16 ounces). The quality engineering department tells the plant manager that both machines fill to
the same net volume (whether or not this volume averages 16.0 ounces). A random sample is taken from
the output of the each machine.
Table 1-Measured volume of water per bottle (fluid ounces)
Machine 1
Machine 2
16.03
16.01
16.02
16.03
16.04
15.96
15.97
16.04
16.05
15.98
15.96
16.02
16.05
16.02
16.01
16.01
16.02
15.99
15.99
16.00
Do you think the quality engineering department is correct? Derive your answer from a complete
hypothesis testing process.
Transcribed Image Text:Dasani has two machines at a particular plant that are used for filling their plastic water bottles (nominal volume 16 ounces). The quality engineering department tells the plant manager that both machines fill to the same net volume (whether or not this volume averages 16.0 ounces). A random sample is taken from the output of the each machine. Table 1-Measured volume of water per bottle (fluid ounces) Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 Do you think the quality engineering department is correct? Derive your answer from a complete hypothesis testing process.
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