n USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 38 pins is at least 51?

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 1.3. (Round your answers to four decimal places.)
In USE SALT
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 38 pins is at least 51?
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 1.3. (Round your answers to four decimal places.) In USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 38 pins is at least 51?
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