Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed to be normal with standard deviation o, = 0.020 and o2 = %3D %3D 0.025 ounces. A random sample of 10 bottles is taken from the output of each machine. Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 Calculate a 95% confidence interval on the difference in means. Provide a practical interpretation of this interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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D1
Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The
fill volume can be assumed to be normal with standard deviation o1 = 0.020 and o2 =
%3D
0.025 ounces. A random sample of 10 bottles is taken from the output of each
machine.
Machine 1
Machine 2
16.03
16.01
16.02
16.03
16.04
15.96
15.97
16.04
16.05
15.98
15.96
16.02
16.05
16.02
16.01
16.01
16.02
15.99
15.99
16.00
Calculate a 95% confidence interval on the difference in means. Provide a practical
interpretation of this interval.
Transcribed Image Text:Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed to be normal with standard deviation o1 = 0.020 and o2 = %3D 0.025 ounces. A random sample of 10 bottles is taken from the output of each machine. Machine 1 Machine 2 16.03 16.01 16.02 16.03 16.04 15.96 15.97 16.04 16.05 15.98 15.96 16.02 16.05 16.02 16.01 16.01 16.02 15.99 15.99 16.00 Calculate a 95% confidence interval on the difference in means. Provide a practical interpretation of this interval.
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