A population of values has a normal distribution with mean of 159.4 and standard deviation of 80.5. a) Get the z-score for a value of 144.1. 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 144.1 is above or below the population mean μμ . c) Find the probability that a randomly selected value is greater than 144.1.
A population of values has a normal distribution with mean of 159.4 and standard deviation of 80.5. a) Get the z-score for a value of 144.1. 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 144.1 is above or below the population mean μμ . c) Find the probability that a randomly selected value is greater than 144.1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A population of values has a
a) Get the z-score for a value of 144.1. 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 144.1 is above or below the population mean μμ .
c) Find the
Expert Solution
Step 1
a)
A population value has a normally distributed with mean 159.4 and standard deviation 80.5.
The z score is calculated as follows:
Z= (144.1-159.4)/80.5
= -0.1901
Thus, the z score is -0.1901
b)
The z-score tells that the score of 144.1 is 0.1901 standard deviation below the population mean .
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