Question 1197776: Rounded to 2 decimal places, solve for k (the z-score) such that
P(−k < z < k) = 0.17
k= Found 2 solutions by math_tutor2020, ewatrrr:Answer by math_tutor2020(3817) (Show Source):
There are many free online Z score calculators to use.
I recommend this one as it offers a diagram https://davidmlane.com/normal.html
Click on the radio button "Value from an area"
Then type 0.17 into the "area" box. Leave the mean and SD as 0 and 1 respectively.
Then click on the "between" radio button to have "-0.214 and 0.214" show up.
You might have to click "recalculate".
This tells us that P(-0.214 < z < 0.214) = 0.17 approximately
When rounding to two decimal places, we write
P(-0.21 < z < 0.21) = 0.17
which shows k = 0.21
You can put this solution on YOUR website!
wanting the area on either side of z = 0 to be .17/2 = .085
.085 + .5(area to the left of z = 0)
k = Invnorm(.585) = .21
P(−21 < z < .21) = 0.17
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