Question

Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal with a 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: Machine 1: 16.03, 16.01, 16.04, 15.96, 16.05, 15.98, 16.05, 16.02, 16.02, 15.99 Machine 2: 16.02, 16.03, 15.97, 16.04, 15.96, 16.02, 16.01, 16.01, 15.99, 16.00 Find the upper bound of a 95% confidence interval on the difference of means. Use at least four decimal digits.

          Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed normal with a 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:

Machine 1: 16.03, 16.01, 16.04, 15.96, 16.05, 15.98, 16.05, 16.02, 16.02, 15.99
Machine 2: 16.02, 16.03, 15.97, 16.04, 15.96, 16.02, 16.01, 16.01, 15.99, 16.00

Find the upper bound of a 95% confidence interval on the difference of means. Use at least four decimal digits.

Added by Jill L.

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