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 USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 15 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 44 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 USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 15 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 44 pins is at least 51?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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 1.6. (Round your answers to four decimal places.)
n USE SALT
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 15 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 44 pins is at least 51?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc07602e-78f4-4480-b951-83c1bebc7673%2Fb39a2b3d-5da8-4023-bad5-f1a153e39039%2Fc6d9bbm_processed.jpeg&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 1.6. (Round your answers to four decimal places.)
n USE SALT
(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 15 pins is at least 51?
(b) What is the (approximate) probability that the sample mean hardness for a random sample of 44 pins is at least 51?
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