A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with milli
meters. A random sample of 15 rings has a mean diameter of . Construct a 99% two-sided confidence interval on the true mean piston diameter and a 95% lower confidence bound on the true mean piston diameter. Round your answers to 3 decimal places. (a) Calculate the 99% two-sided confidence interval on the true mean piston diameter.
1 answer:
Complete Question:
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with ? = 0.001 millimeters. A random sample of 15 rings has a mean diameter of \bar{X}= 74.106. Construct a 99% two-sided confidence interval on the true mean piston diameter and a 95% lower confidence bound on the true mean piston diameter.
(Round your answers to 3 decimal places.)
(Calculate the 99% two-sided confidence interval on the true mean piston diameter.
Answer:
99% true sided confidence Interval on the true mean Piston diameter = (74.105, 74.107)
Step-by-step explanation:
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It's approximately equal to 4.5 which is choice 2.