A population of values has a normal distribution with u draw a random sample of size n = 173. 54.5 and o 93.1. You intend to Find P8, which is the mean separating the bottom 8% means from the top 92% means. P8 (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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A population of values has a normal distribution with \( \mu = 54.5 \) and \( \sigma = 93.1 \). You intend to draw a random sample of size \( n = 173 \).

Find \( P_8 \), which is the mean separating the bottom 8% means from the top 92% means.

\( P_8 \) (for sample means) = [Input box]

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.
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 54.5 \) and \( \sigma = 93.1 \). You intend to draw a random sample of size \( n = 173 \). Find \( P_8 \), which is the mean separating the bottom 8% means from the top 92% means. \( P_8 \) (for sample means) = [Input box] 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.
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Sampling distribution of x¯ :

If simple random sample of size n is drawn from Normal population with mean μ and standard deviation σ then sampling distribution of sample mean x¯ is approximately normal with mean μx¯=μ and standard deviation σx¯=σn

 

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