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6. Production lines in a manufacturing plant are set to make steel ball bearings with a diameter of 1 micron. Ten ball bearings were randomly selected from two production lines. The diameters of the ball bearings measured in microns were as follows: First line Second line 1.18 1.42 0.69 0.88 1.62 1.09 1.53 1.02 1.19 1.32 1.72 1.62 1.69 0.79 1.79 0.77 1.44 1.29 1.96 0.99

6. Production lines in a manufacturing plant are set to make steel ball bearings with a diameter of 1 micron. Ten ball bearings were randomly selected from two production lines. The diameters of the ball bearings measured in microns were as follows: First line Second line 1.18 1.42 0.69 0.88 1.62 1.09 1.53 1.02 1.19 1.32 1.72 1.62 1.69 0.79 1.79 0.77 1.44 1.29 1.96 0.99

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6. Production lines in a manufacturing plant are set to make steel ball bearings with a diameter of 1 micron. Ten ball bearings were randomly selected from two production lines. The diameters of the ball bearings measured in microns were as follows: (a) First line 1.18 1.42 0.69 0.88 1.62 1.09 1.53 1.02 1.19 1.32 Second line 1.72 1.62 1.69 0.79 1.79 0.77 1.44 1.29 1.96 0.99 Use the R script to calculate a 95% confidence interval for the difference between the mean diameters of ball bearings from the two production lines, assuming the variances of the diameters of ball bearings from the two production lines are the same. Is there a statistically significant difference at a = 0.05? (b) Repeat (a) without assuming the variances of the diameters of ball bearings from the two production lines are the same. Compare the results.
Transcribed Image Text:6. Production lines in a manufacturing plant are set to make steel ball bearings with a diameter of 1 micron. Ten ball bearings were randomly selected from two production lines. The diameters of the ball bearings measured in microns were as follows: (a) First line 1.18 1.42 0.69 0.88 1.62 1.09 1.53 1.02 1.19 1.32 Second line 1.72 1.62 1.69 0.79 1.79 0.77 1.44 1.29 1.96 0.99 Use the R script to calculate a 95% confidence interval for the difference between the mean diameters of ball bearings from the two production lines, assuming the variances of the diameters of ball bearings from the two production lines are the same. Is there a statistically significant difference at a = 0.05? (b) Repeat (a) without assuming the variances of the diameters of ball bearings from the two production lines are the same. Compare the results.
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