Chapter 3.2, Problem 3.43E

(a)

To determine

To find: the value of z from a standard normal distribution and sketch a standard normal curve with value of z marked on the axis.

Explanation of Solution

Given:

The point z with 32% of the observations falling to its left

Calculation:

Looking in the table for the percent 32%=0.32 or closet value

  $z=-0.47$

Graph:

The point z=-0.47 with 32% of the observations falling to its left which is looking forth.

(b)

To determine

To find: the value of z from a standard normal distribution and sketch a standard normal curve with value of z marked on the axis.

Explanation of Solution

Given:

The point z with 40% of the observations falling to its right

Calculation:

Looking in the table for the percent 100%-40% =60% or 0.60 closet value

  $z=0.25$

Graph:

The point z=0.25 with 40% of the observations falling to its right which is looking forth.

(c)

To determine

To find: the value of z from a standard normal distribution and sketch a standard normal curve with value of z marked on the axis.

Explanation of Solution

Given:

The 10^th percentile of the standard normal distribution

Calculation:

Looking in the table for the percent 10% = 0.10 or closet value

  $z=-1.28$

Graph:

Below z=-1.28 it gives 10% of the data which is looking forth.

(d)

To determine

To find: the value of z from a standard normal distribution and sketch a standard normal curve with value of z marked on the axis.

Explanation of Solution

Given:

The 83^rd percentile of the standard normal distribution

Calculation:

Looking in the table for the percent 83% = 0.83 or closet value

  $z=0.95$

Graph:

Below z=0.95 it gives 83% of the data which is looking forth.