Exercise 2. Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 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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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Exercise 2. Rockwell hardness of pins of a certain type is known to have a mean value
of 50 and a standard deviation of 1.2.
a. If the distribution is normal, what is the probability that the sample mean hardness
for a random sample of 9 pins is at least 51?
b. Without assuming population normality, what is the (approximate) probability
that the sample mean hardness for a random sample of 40 pins is at least 51?
Transcribed Image Text:Exercise 2. Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51?
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