Find the Z-scores for which 88% of the distributions area lies between -z and z. The z-scores
are? (Use a comma to seperate answers as needed. Round to two decimal places as needed)
Solution
The area under the entire normal curve is 1. If you want the z scores so that .88 is the area
between those points under the curve then this means that 1-.88=.12 is the distribution\'s area not
between -z and z. Since half of this area is between -%u221E and -z and half of this area is
between z and %u221E you need to divide the area by 2. Now you want to find the z score so
that .12/2 = .06 is the area to the right of z. Look at a table of the standard normal distribution.
Somewhere in the center section of the table you will find a number very close to .06. My table
shows this when z=1.55. Since this is the same area to the left under the curve of z=-1.55 then
88% of the distribution\'s area lies between z=-1.55 and z=1.55.
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
Find the Z-scores for which 88 of the distributions area lies betwe.pdf
1. Find the Z-scores for which 88% of the distributions area lies between -z and z. The z-scores
are? (Use a comma to seperate answers as needed. Round to two decimal places as needed)
Solution
The area under the entire normal curve is 1. If you want the z scores so that .88 is the area
between those points under the curve then this means that 1-.88=.12 is the distribution's area not
between -z and z. Since half of this area is between -%u221E and -z and half of this area is
between z and %u221E you need to divide the area by 2. Now you want to find the z score so
that .12/2 = .06 is the area to the right of z. Look at a table of the standard normal distribution.
Somewhere in the center section of the table you will find a number very close to .06. My table
shows this when z=1.55. Since this is the same area to the left under the curve of z=-1.55 then
88% of the distribution's area lies between z=-1.55 and z=1.55
