The inside diameter of a randomly selected piston ring is a random variable with mean value 11 cm and standard deviation 0.02 cm. Suppose the distribution of the diameter is normal. (Round your answers to four decimal places.) USE SALT (a) Calculate P(10.99 ≤ X ≤ 11.01) when n = 16. P(10.99 X 11.01) = (b) How likely is it that the sample mean diameter exceeds 11.01 when n = 25? P(X 11.01) = You may need to use the appropriate table in the Appendix of Tables to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The inside diameter of a randomly selected piston ring is a random variable with mean value 11 cm and standard deviation 0.02 cm. Suppose the distribution of the diameter is normal. (Round your answers to four decimal
places.)
USE SALT
(a) Calculate P(10.99 ≤ X ≤ 11.01) when n = 16.
P(10.99 X 11.01) =
(b) How likely is it that the sample mean diameter exceeds 11.01 when n = 25?
P(X 11.01) =
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:The inside diameter of a randomly selected piston ring is a random variable with mean value 11 cm and standard deviation 0.02 cm. Suppose the distribution of the diameter is normal. (Round your answers to four decimal places.) USE SALT (a) Calculate P(10.99 ≤ X ≤ 11.01) when n = 16. P(10.99 X 11.01) = (b) How likely is it that the sample mean diameter exceeds 11.01 when n = 25? P(X 11.01) = You may need to use the appropriate table in the Appendix of Tables to answer this question.
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