Find the following percentiles for the standard normal distr

Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.)

(a) 24th

(b) 14th

Solution

a)

Standard Normal distribution : Z N(0, 1)

24th percentile:

Mean =0

SD= 1

From z -table , the value of z is approximately -0.7, or 0.7 standard deviations below the mean.
1 * -0.7 = -0.7 points above the mean.
The value you are looking for is 0-0.7 = -0.7 Answer

b)

Standard Normal distribution : Z N(0, 1)

14th percentile:

Mean =0

SD= 1

From z -table , the value of z is approximately -1.08, or 1.08 standard deviations below the mean.
1 * -1.08 = -1.08 points above the mean.
The value you are looking for is 0-1.08 = -1.08 Answer