90% Confidence Interval for Voltage at 2 locations
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1) Using the data of problem 1.62 page 62 of your textbook, test whether the mean voltage reading at the new location is less than the one at the old location.
Note: Make sure to state the assumptions
Refer To the Harris Corporation/University of Florida study to determine whether a manufacturing process performed at a remote location could be established locally. Test devices (pilots) were set up at both the old and new locations, and voltage readings on 30 production runs at each location were obtained. The data are reproduced in the table below. (Note: larger voltage readings are better than smaller voltage readings).
a. compare the mean voltage readings at the two locations using a 90% confidence interval.
b. based on the interval, part a. does it appear that the manufacturing process can be established locally?
Old Location
0 9.98
0 10.26
0 10.05
0 10.29
0 10.03
0 8.05
0 10.55
0 10.26
0 9.97
0 9.87
0 10.12
0 10.05
0 9.80
0 10.15
0 10.00
0 9.87
0 9.55
0 9.95
0 9.70
0 8.72
0 9.84
0 10.15
0 10.02
0 9.80
0 9.73
0 10.01
0 9.98
0 8.72
0 8.80
0 9.84
New Location
1 9.19
1 9.63
1 10.10
1 9.70
1 10.09
1 9.60
1 10.05
1 10.12
1 9.49
1 9.37
1 10.01
1 8.82
1 9.43
1 10.03
1 9.85
1 9.27
1 8.83
1 9.39
1 9.48
1 9.64
1 8.82
1 8.65
1 8.51
1 9.14
1 9.75
1 8.78
1 9.35
1 9.54
1 9.36
1 8.68
---------------------NEW location--------------------------------
The Means Procedure
Analysis Variable : voltage
N MEAN Std Dev Minimum Maximum
30 9.4223333 0.47887 8.51 10.120
---------------------OLD location--------------------------------
Analysis Variable : voltage
N MEAN Std Dev Minimum Maximum
30 9.803667 0.5409155 8.050 10.550
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90% Confidence Interval for Voltage at 2 locations.
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