QUESTION IMAGE
Question
find the percent of the total area under the standard normal curve between the following z - scores.
z = - 1.1 and z = - 0.75
click here to see page 1 of the table for areas under the standard normal curve.
click here to see page 2 of the table for areas under the standard normal curve.
the percent of the total area between z = - 1.1 and z = - 0.75 is
(round to the nearest integer.)
Step1: Find area for z = -1.1
Using standard - normal table, the area to the left of $z=-1.1$ is $0.1357$.
Step2: Find area for z = -0.75
Using standard - normal table, the area to the left of $z = - 0.75$ is $0.2266$.
Step3: Calculate the area between the two z - scores
The area between $z=-1.1$ and $z=-0.75$ is $0.2266 - 0.1357=0.0909$.
Step4: Convert to percentage
To convert the area to a percentage, multiply by 100: $0.0909\times100 = 9.09\%$.
Step5: Round to nearest integer
Rounding $9.09\%$ to the nearest integer gives $9\%$.
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