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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Rockwell hardness of pins of a certain type is known to have a
(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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON