Part 1 A population of values has a normal distribution with mean of 62.6 and standard deviation of 61.5.  a) Get the z-score for a value of 50.8. For this problem you use the z score formula z=x−μσz=x-μσ    b) This z-score tells you how many  the score of 50.8 is above or below the population mean μμ . c) Find the probability that a randomly selected value is less than 50.8.   Part 2 A population of values has a normal distribution with mean of 62.6 and standard deviation of 61.5.  You sample 157 values from the population. a) Get the z-score for a sample mean of 50.8. For this problem you use the z score formula z=(¯x−μ)√nσz=(x¯-μ)nσ     b) This z-score tells you how many  the sample mean of 50.8 is above or below the population mean μμ . c) Find the probability that a sample mean is less than 50.8.  Enter your numerical answers as numbers accurate to at least 4 decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Part 1

A population of values has a normal distribution with mean of 62.6 and standard deviation of 61.5. 

a) Get the z-score for a value of 50.8. For this problem you use the z score formula z=x−μσz=x-μσ   

b) This z-score tells you how many  the score of 50.8 is above or below the population mean μμ .

c) Find the probability that a randomly selected value is less than 50.8.  

Part 2

A population of values has a normal distribution with mean of 62.6 and standard deviation of 61.5. 

You sample 157 values from the population.

a) Get the z-score for a sample mean of 50.8. For this problem you use the z score formula z=(¯x−μ)√nσz=(x¯-μ)nσ    

b) This z-score tells you how many  the sample mean of 50.8 is above or below the population mean μμ .

c) Find the probability that a sample mean is less than 50.8. 

Enter your numerical answers as numbers accurate to at least 4 decimal places. 

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