Heights for group of people normally distributed with mean = 66 inches and standard deviation = 2.8 inches. find the height, h such that about 10% of people in the group are shorter than that height. (round the answer to the nearest tenth.)

62.416 inches.

Step-by-step explanation:

Given :Heights for group of people normally distributed with mean = 66 inches and standard deviation = 2.8 inches.

To Find: Find the height, h such that about 10% of people in the group are shorter than that height.

Solution:

Mean=

Standard deviation =

We are given that Find the height, h such that about 10% of people in the group are shorter than that height.

So, p - value = 0.1

So using z table find z corresponding to this p value

So, z = -1.28

Now we are supposed to find the height such that about 10% of people in the group are shorter than that height.

So, we will use z score formula :

Hence he height, h such that about 10% of people in the group are shorter than that height is 62.416 inches.

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values