A variable must lie between an upper and lower specification. The distribution of the variable is normal with standard deviation 0.6 mm. Determine the sample size and boundaries of acceptance region such that both of the below conditions are satisfied simultaneously. Condition1: If the population mean is below 45mm or above 47 mm the probability of lot acceptance is 10%. Condition2: If the population mean is between 45mm and 47 mm the probability of lot acceptance is 95%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A variable must lie between an upper and lower specification. The distribution of
the variable is normal with standard deviation 0.6 mm. Determine the sample size
and boundaries of acceptance region such that both of the below conditions are
satisfied simultaneously.
Condition1: If the population mean is bekow 45mm or above 47 mm the
probability of lot acceptance is 10%.
Condition2: If the population mean is between 45mm and 47 mm the probability
of lot acceptance is 95%.
Transcribed Image Text:14 A variable must lie between an upper and lower specification. The distribution of the variable is normal with standard deviation 0.6 mm. Determine the sample size and boundaries of acceptance region such that both of the below conditions are satisfied simultaneously. Condition1: If the population mean is bekow 45mm or above 47 mm the probability of lot acceptance is 10%. Condition2: If the population mean is between 45mm and 47 mm the probability of lot acceptance is 95%.
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