A distribution of values is normal with a mean of 247.9 and a
standard deviation of 5.9.
Find P8, which is the score separating the bottom 8% from the top
92%.
P8 =
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.
Explain how you found P8.
Given a distribution of values is normal with a mean of and a standard deviation of .
We are required to find P8, which is the score separating the bottom 8% from the top 92%. First we convert P8 to the corresponding Z-score(standardized score). That is
We found the Z-score corresponding to P8. Then used the area to the left of this Z-score under standard normal curve as 0.08. Took the inverse of the standard normal CDF.
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