Question

Find two z values so that the middle 65% of the area is bounded by them

Answer 1

Answer: Firstly in this question, we need to solve for

α

which is the part of the distribution of which we not looking for.

we can do this with the sum:

α

=

1

−

0.76

=

0.24

as

0.76

=

76

%

we also know that our Standard Normal Distribution is symmetric, so we must divide that

α

to be split on either side of our distribution. so we solve for:

α

2

=

0.24

2

=

0.12

then we find a correlating

z

-score for the value

0.12

and we get that

−

z

=

−

1.175

and

z

=

1.175

This becomes easier to understand when visualized, so observe how we do this sum.

Step-by-step explanation: