Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.6. (Round your answers to four decimal places.) (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 18 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.6. (Round your answers to four decimal places.) (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 18 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?
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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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.6. (Round your answers to four decimal places.)
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 18 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?
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