Question 1203184: Find z if
a) the normal curve area between 0 and z is 0.4884
b) the normal curve area to the right of z is 0.8665
Please help! Thank you.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Find z if
a) the normal curve area between 0 and z is 0.4884
b) the normal curve area to the right of z is 0.8665
Please help! Thank you.
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(a) If the normal curve area between 0 and z is 0.4884,
then the normal curve area on the left of z is 0.5 + 0.4885 = 0.9885.
To find z, use the standard function invNorm in your regular calculator
TI-83 or TI-84
area mean SD <<<---=== formatting pattern
z = invNorm(0.9885, 0, 1).
Alternatively, you may use free of charge online calculator
https://onlinestatbook.com/2/calculators/inverse_normal_dist.html
With TI-83 or TI-84, you have
area mean SD <<<===--- formatting pattern
z = invNorm( 0.9885, 0.0, 1) = 2.2734. ANSWER
With online calculator, you have the same answer PLUS a complete visual explanations
on what you do, what the calculator does for you and why it is correct.
(b) if the normal curve area to the right of z is 0.8665, then
the normal curve area to the left of z is 1-0.8665 = 0.1335.
To find z, use the standard function invNorm in your regular calculator
TI-83 or TI-84
area mean SD <<<---=== formatting pattern
z = invNorm(0.1335, 0, 1).
Alternatively, you may use free of charge online calculator
https://onlinestatbook.com/2/calculators/inverse_normal_dist.html
With TI-83 or TI-84, you have
area mean SD <<<===--- formatting pattern
z = invNorm( 0.1335, 0.0, 1) = -1.11. ANSWER
With online calculator, you have the same answer PLUS a complete visual explanations
on what you do, what the calculator does for you and why it is correct.
Solved, with complete explanations.
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To learn more on standard functions normalcdf and invNorm, look into these Internet web-sources
https://www.tcc.fl.edu/media/divisions/learning-commons/resources-by-subject/math/statistics/Choosing-whether-to-use-normalcdf-or-invNorm.pdf
https://courses.lumenlearning.com/introstats1/chapter/using-the-normal-distribution/
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