Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your answers to four decimal places.)If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51?What is the (approximate) probability that the sample mean hardness for a random sample of 42 pins is at least 51?

Given, Rockwell hardness of pins of a certain type have a mean value of 50 and a standard deviation…

Answered: Rockwell hardness of pins of a certain…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
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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 1.7. (Round your answers to four decimal places.) In USE SALT (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 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?
The grade point average for ALL juniors at a large college has a standard deviation of 0.50. A random sample of 20 students is to be used to estimate the population mean grade point average. What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean?
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.a. What is the distribution of X? ~ N( , )b. What is the median giraffe height? ________ ft.c. What is the Z-score for a giraffe that is 20 foot tall? _________
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