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.) USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 16 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 42 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 1.4. (Round your answers to four decimal places.) USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 16 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 42 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 1.4. (Round your answers to four decimal places.)
USE SALT
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 16 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 42 pins is at least 51?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63a2672e-f44e-49ad-ac63-45b39b5df3ef%2Fd1ea9c39-aa22-414e-9b74-1c23d3a6a423%2Ffe6ibfk_processed.png&w=3840&q=75)
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.)
USE SALT
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 16 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 42 pins is at least 51?
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