Rockwell hardness of pins of a certain type is known tohave a mean value of 50 and a standard deviation of 1.2.a. If the distribution is normal, what is the probabilitythat the sample mean hardness for a random sampleof 9 pins is at least 51?b. Without assuming population normality, what is the(approximate) probability that the sample meanhardness for a random sample of 40 pins is at least51?
Rockwell hardness of pins of a certain type is known tohave a mean value of 50 and a standard deviation of 1.2.a. If the distribution is normal, what is the probabilitythat the sample mean hardness for a random sampleof 9 pins is at least 51?b. Without assuming population normality, what is the(approximate) probability that the sample meanhardness for a random sample of 40 pins is at least51?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Rockwell hardness of pins of a certain type is known to
have a
a. If the distribution is normal, what is the
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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