A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.24 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 12 bolts has an average diameter of 0.23 cm with a standard deviation of 0.2406. Can the manufacturer conclude that the bolts vary by more than the required variance at a = 0.025 level? Step 5 of 5: What is the conclusion?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.24 centimeters in
diameter. The variance of the bolts should be 0.015. A random sample of 12 bolts has an average diameter of 0.23 cm with a standard deviation of
0.2406. Can the manufacturer conclude that the bolts vary by more than the required variance at a = 0.025 level?
Step 5 of 5: What is the conclusion?
Transcribed Image Text:A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.24 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 12 bolts has an average diameter of 0.23 cm with a standard deviation of 0.2406. Can the manufacturer conclude that the bolts vary by more than the required variance at a = 0.025 level? Step 5 of 5: What is the conclusion?
Expert Solution
Step 1: Determine the given data

From the provided information,

n equals 12
top enclose x equals 0.23
s equals 0.2406
alpha equals 0.025

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