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?

Given that: X is normally Distributed with mean µ = 50.0 and standard deviation σ = 1.6 By using…

Answered: Rockwell hardness of pins of a certain…

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...

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1
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.5. (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 14 pins is at least 51? 0.6667 (b) What is the (approximate) probability that the sample mean hardness for a random sample of 39 pins is at least 51?
Use the following information to answer questions 1, 2, and 3. 1. Suppose that x has a normal distribution with a mean of 20 and a standard deviation of 3. Random samples of size 36 are drawn. What is the probability that the next time x is measured that it will have a value less than 16? 2.What is the probability that the next sample taken will have an average value greater than 20.5? 3.What is the probability that the next sample taken will have an average value less than 17?
Q3
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
Sh9 Please help me.
Questions A and C. Please!
I answered A,B AND C. I NEED HELP TO SOLVE PROBLEM NUMBER D,E AND F ONLY
An IQ score has a Normal distribution with mean 50 and standard deviation 5. Assume we want a sample of size 9. What proportion of sample means (of size 9) are less than 46.1? (Select nearest answer if your exact answer is not provided below). Group of answer choices 0.16 0.05 0.01 0.0013
The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation of $350. What is the probability that the mean of a random sample of weekly salaries of 50 employees will be at most $900? 0.0217 O 0.9783 O 0.3438 O Cannot be determined, because the distribution of the population is not normal.
3.The average GPA scored by a class is 4.76, and the standard deviation is 0.64. For a sample of 16 students, find the z-score that the average is above 5.0. A.0.375 B.1.5 C.0.75 D.6

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