The height of an adult male is known to be normally distributed with mean of 175 cm and standard deviation of 6 cm. the 20th percentile (bottom 20%) of the distribution of heights is shorter than:

The height below which 20% of the persons lie equals 169.95 cm

Step-by-step explanation:

Given that

Mean height = 175 cm

Standard deviation = 6 cm

Hence for the given question we need to find the standard variate factor ( Z factor) corresponding to the 20% of the area under the standard normal distribution curve

Using the standard normal distribution tables we have Z factor corresponding to an area of 20% equals ( Z = -0.84166)

Thus we have

-14 is the answer

hope this : ))