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A distribution of values is normal with a mean of 157.8 and a standard deviation of...

A distribution of values is normal with a mean of 157.8 and a standard deviation of 21.7.
Find P11, which is the score separating the bottom 11% from the top 89%.

P11 =

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

math   Statistics-And-Probability   
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Answer #1

Use the table of z-values to find the z-score for 0.11 probability
:
the associated z-score is -1.24

Z= X-mean/std

Z*std= X-mean

Z*std+mean=X

-1.24*21.7+157.8= X

X= 130.9

P11= 130.9

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