ii. iii. Find the 95% confidence interval for the difference of two means. Based on part (ii), can you conclude that these machine fill glass bottles with a same net volume? Justify your answer.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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QUESTION 1
a)
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.
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
Transcribed Image Text:QUESTION 1 a) 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. 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
ii.
iii.
Find the 95% confidence interval for the difference of two means.
Based on part (ii), can you conclude that these machine fill glass bottles with a same
net volume? Justify your answer.
Transcribed Image Text:ii. iii. Find the 95% confidence interval for the difference of two means. Based on part (ii), can you conclude that these machine fill glass bottles with a same net volume? Justify your answer.
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