machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal, with standard deviation σ1 = 0.020 and σ2 = 0.025 ounces. A member of the quality engineering staff suspects that both machines fill to the same

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal, with standard deviation σ1 = 0.020 and σ2 = 0.025 ounces. A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine.

Questions:

  • Find a 95% confidence interval on the difference in means. Provide a practical interpretation of

      this interval. 

  • Assuming equal sample sizes, what sample size should be used to assure that β = 0.05 if the 

      true difference in means is 0.04? Assume that α = 0.05.

16.03
16.04
16.05
16.05
16.02
MACHINE 1
16.01
15.96
15.98
16.02
15.99
16.02
15.97
15.96
16.01
15.99
MACHINE 2
16.03
16.04
16.02
16.01
16.00
Transcribed Image Text:16.03 16.04 16.05 16.05 16.02 MACHINE 1 16.01 15.96 15.98 16.02 15.99 16.02 15.97 15.96 16.01 15.99 MACHINE 2 16.03 16.04 16.02 16.01 16.00
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