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A population of values has a normal distribution with μ=21.6μ=21.6 and σ=99.9σ=99.9. If a random sample of size n=16n=16 is selected, Find the probability that a single randomly selected value is less than 51.6. Round your answer to four decimals.  P(X < 51.6) =  Find the probability that a sample of size n=16n=16 is randomly selected with a mean less than 51.6. Round your answer to four decimals.  P(M < 51.6) =

A population of values has a normal distribution with μ=21.6μ=21.6 and σ=99.9σ=99.9. If a random sample of size n=16n=16 is selected, Find the probability that a single randomly selected value is less than 51.6. Round your answer to four decimals.  P(X < 51.6) =  Find the probability that a sample of size n=16n=16 is randomly selected with a mean less than 51.6. Round your answer to four decimals.  P(M < 51.6) =

MATLAB: An Introduction with Applications
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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A population of values has a normal distribution with μ=21.6μ=21.6 and σ=99.9σ=99.9. If a random sample of size n=16n=16 is selected,

  1. Find the probability that a single randomly selected value is less than 51.6. Round your answer to four decimals. 
    P(X < 51.6) = 

  2. Find the probability that a sample of size n=16n=16 is randomly selected with a mean less than 51.6. Round your answer to four decimals. 
    P(M < 51.6) = 
Expert Solution
Step 1

Given information

Mean (µ) = 21.6

Standard deviation (σ) = 99.9

Sample size(n) = 16

1)

probability that a single randomly selected value is less than 51.6 is given by

P(X<51.6)

Changing into standard normal variate

 

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