12) A certain standardized test has scores which range from 0 to 500, with decimal scores...

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12) A certain standardized test has scores which range from 0 to 500, with decimal scores...

12) A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 306 and a standard deviation of 43. Find the percentile P67 for the scores of students taking the exam.

Round your answer to 2 decimal places.

math Statistics-And-Probability

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Answer 1

Answer #1

Given that,

mean = $\mu$ = 306

standard deviation = $\sigma$ =43

Using standard normal table,

P(Z < z) = 67%

=(Z < z) = 0.67

= P(Z < 0.44 ) = 0.67

z = 0.44

Using z-score formula

x = z $\sigma$ + $\mu$

x = 0.44 *43+306

x = 324.92

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Answer 2

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