There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.1 cm. The second machine produces corks with diameters that are normally distributed with mean 3.04 cm and standard deviation 0.02 cm. Acceptance corks have diameters between 2.9 cm and 3.1 cm. Which machine is more likely to produce an acceptable cork?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with
diameters that are normally distributed with mean 3 cm and standard deviation 0.1 cm. The second machine
produces corks with diameters that are normally distributed with mean 3.04 cm and standard deviation 0.02 cm.
Acceptance corks have diameters between 2.9 cm and 3.1 cm. Which machine is more likely to produce an
acceptable cork?
Transcribed Image Text:There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.1 cm. The second machine produces corks with diameters that are normally distributed with mean 3.04 cm and standard deviation 0.02 cm. Acceptance corks have diameters between 2.9 cm and 3.1 cm. Which machine is more likely to produce an acceptable cork?
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