A population of values has a normal distribution with μ=204.5μ=204.5 and σ=6.1σ=6.1. You intend to draw a random sample of size n=29n=29. Find the probability that a sample of size n=29n=29 is randomly selected with a mean greater than 202.8. P(M > 202.8) =  Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A population of values has a normal distribution with μ=204.5μ=204.5 and σ=6.1σ=6.1. You intend to draw a random sample of size n=29n=29.

Find the probability that a sample of size n=29n=29 is randomly selected with a mean greater than 202.8.
P(M > 202.8) = 

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Question 6

 
A population of values has a normal distribution with μ=157.7μ=157.7 and σ=23.2σ=23.2. You intend to draw a random sample of size n=197n=197.

Find the probability that a sample of size n=197n=197 is randomly selected with a mean between 154.2 and 162.5.
P(154.2 < M < 162.5) = 

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

 Question 7

A population of values has a normal distribution with μ=109.2μ=109.2 and σ=98.9σ=98.9. You intend to draw a random sample of size n=72n=72.

Find P17, which is the mean separating the bottom 17% means from the top 83% means.
P17 (for sample means) = 

Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Submit QuestionQuestion 7
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 Question 8

 
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.5-cm and a standard deviation of 1.2-cm. For shipment, 10 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is less than 212.4-cm.
P(M < 212.4-cm) = 

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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