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A manufacturer produces piston rings for an automobile
Chapter 8, Problem 13E(choose chapter or problem)
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with \(\sigma=0.001\) millimeters. A random sample of 15 rings has a mean diameter of \(\bar{x}=74.036\) millimeters.
(a) Construct a 99% two-sided confidence interval on the mean piston ring diameter.
(b) Construct a 99% lower-confidence bound on the mean piston ring diameter. Compare the lower bound of this confi-dence interval with the one in part (a).
Equation Transcription:
Text Transcription:
sigma=0.001
x bar=74.036
Questions & Answers
QUESTION:
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with \(\sigma=0.001\) millimeters. A random sample of 15 rings has a mean diameter of \(\bar{x}=74.036\) millimeters.
(a) Construct a 99% two-sided confidence interval on the mean piston ring diameter.
(b) Construct a 99% lower-confidence bound on the mean piston ring diameter. Compare the lower bound of this confi-dence interval with the one in part (a).
Equation Transcription:
Text Transcription:
sigma=0.001
x bar=74.036
ANSWER:
Step 1 of 4
Given,
The standard deviation,
Sample size, n = 15.
The mean,
For a sample mean, 
