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A population of values has a normal distribution with u = 161.7 and o = 11.1. If a random sample of size n = 23 is selected, a. Find the probability that a single randomly selected value is less than 160.8. Round your answer to four decimals. P(X < 160.8) = b. Find the probability that a sample of size n = 23 is randomly selected with a mean less than 160.8. Round your answer to four decimals. P(M < 160.8) =

A population of values has a normal distribution with u = 161.7 and o = 11.1. If a random sample of size n = 23 is selected, a. Find the probability that a single randomly selected value is less than 160.8. Round your answer to four decimals. P(X < 160.8) = b. Find the probability that a sample of size n = 23 is randomly selected with a mean less than 160.8. Round your answer to four decimals. P(M < 160.8) =

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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161.7 and o = 11.1. If a A population of values has a normal distribution with u random sample of size n = 23 is selected, a. Find the probability that a single randomly selected value is less than 160.8. Round your answer to four decimals. P(X < 160.8) = b. Find the probability that a sample of size n = 23 is randomly selected with a mean less than 160.8. Round your answer to four decimals. P(M < 160.8) =
Transcribed Image Text:161.7 and o = 11.1. If a A population of values has a normal distribution with u random sample of size n = 23 is selected, a. Find the probability that a single randomly selected value is less than 160.8. Round your answer to four decimals. P(X < 160.8) = b. Find the probability that a sample of size n = 23 is randomly selected with a mean less than 160.8. Round your answer to four decimals. P(M < 160.8) =
Expert Solution
Step 1

We have given that 

X~N( μ , ?^2 )
 
 μ =161.8     , ? = 11.1
 
Z-score =( x - μ )/?
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