When the widget-making machine at WidgetCo is working properly, the widgets it produces are normally distributed with mean μ = 3 in. and standard deviation σ = .1 in. Every day, the quality-control inspector takes a simple random sample of 25 widgets. He will shut down the machine for an overhaul if the mean length of the widgets in the sample is not between 2.95 in. and 3.05 in. What is the probability that the mean length of the widgets in the sample is not between 2.95 and 3.05 in.? (This is the probability that the machine will be shut down for an overhaul, even though it is running properly.)
When the widget-making machine at WidgetCo is working properly, the widgets it produces are normally distributed with mean μ = 3 in. and standard deviation σ = .1 in. Every day, the quality-control inspector takes a simple random sample of 25 widgets. He will shut down the machine for an overhaul if the mean length of the widgets in the sample is not between 2.95 in. and 3.05 in. What is the probability that the mean length of the widgets in the sample is not between 2.95 and 3.05 in.? (This is the probability that the machine will be shut down for an overhaul, even though it is running properly.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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