ockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.4. (Round your nswers to four decimal places.) A USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 14 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 41 pins is at least 51? bu may need to use the appropriate table in the Appendix of Tables to answer this question.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.4. (Round your
answers to four decimal places.)
A USE SALT
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 14 pins is
at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 41 pins is at least 51?
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.4. (Round your answers to four decimal places.) A USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 14 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 41 pins is at least 51? You may need to use the appropriate table in the Appendix of Tables to answer this question.
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