Two machines are used to fill glass bottles with a net volume of 13.0ml. The filling processes are assumed to be normally distributed, with common but unknown standard deviations. The quality department suspects that both machines fill to the same net volume, whether or not this volume is 13.0ml. An experiment is performed by taking a random sample from the output of each machine. i. 13.01 12.98 13.02 13.05 12.99 Machine 1 13.01 13.03 12.96 12.97 13.04 13.04 13.02 13.01 13.05 13.02 Machine 2 13.00 12.96 12.99 13.02 13.03 Construct a 100(1-a)% confidence interval for difference between two means (μ41-4₂).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Two machines are used to fill glass bottles with a net volume of 13.0ml. The filling processes
are assumed to be normally distributed, with common but unknown standard deviations.
The quality department suspects that both machines fill to the same net volume, whether or
not this volume is 13.0ml. An experiment is performed by taking a random sample from the
output of each machine.
i.
13.01
12.98
13.02
13.05
12.99
Machine 1
13.03
13.01
12.96 12.97
13.04 13.04
13.02
13.01
13.05 13.02
Machine 2
13.00
12.96
12.99
13.02
13.03
Construct a 100(1-a)% confidence interval for difference between two means
(11-1₂).
Transcribed Image Text:Two machines are used to fill glass bottles with a net volume of 13.0ml. The filling processes are assumed to be normally distributed, with common but unknown standard deviations. The quality department suspects that both machines fill to the same net volume, whether or not this volume is 13.0ml. An experiment is performed by taking a random sample from the output of each machine. i. 13.01 12.98 13.02 13.05 12.99 Machine 1 13.03 13.01 12.96 12.97 13.04 13.04 13.02 13.01 13.05 13.02 Machine 2 13.00 12.96 12.99 13.02 13.03 Construct a 100(1-a)% confidence interval for difference between two means (11-1₂).
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