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Find z such 99 percent percent of the area under the standard normal curve lies between -z and z?
Wiki User
∙ 14y ago
z = 2.5783
Explanation:
You should make a sketch of the normal curve, with a mean of zero. Now, shade in the region between -z to z as 0.99. The unshade parts must equal 1 - 0.99 or 0.01. Each unshaded parts (left and right tails) are equal, so we need the area of the cumulative normal equal to 0.005, which is -2.5783. I used Excel function: norminv(0.005,0,1).
So from -2.5783 to 2.5784, the area is equal to 0.99 and from minus infinity to
-2.5783, the area is 0.005 and from 2.5783 to infinity, the area is 0.005.
Wiki User
∙ 14y ago
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What is the area under the standard normal curve?
the standard normal curve 2
How does 1 sigma represent 68.8 percent of the total area under a normal curve?
1 sigma does not represent 68.8 percent of anything.The area under the standard normal curve, between -0.5 and +0.5, that i, the central 1 sigma, is equal to 0.68269 or 68.3%.
Is the standard normal curve non symmetrical?
The standard normal curve is symmetrical.
What is the area under the standard normal distribution curve between z1.50 and z2.50?
~0.0606
What are the properties of a standard normal curve?
It is a normal curve with mean = 0 and variance = 1.
What is the area under the standard normal curve?
the standard normal curve 2
Is the standard normal curve non symmetrical?
The standard normal curve is symmetrical.
How does 1 sigma represent 68.8 percent of the total area under a normal curve?
1 sigma does not represent 68.8 percent of anything.The area under the standard normal curve, between -0.5 and +0.5, that i, the central 1 sigma, is equal to 0.68269 or 68.3%.
What is the difference between a general normal curve and a standard normal curve?
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
He area under the standard normal curve is?
The area under the standard normal curve is 1.
How do you apply standard deviation to normal curve?
The distance between the middle and the inflection point is the standard deviation.
What is the area under the standard normal distribution curve between z1.50 and z2.50?
~0.0606
What is the area under the standard normal distribution curve between z0.75 and z1.89?
0.1972
What are the properties of a standard normal curve?
It is a normal curve with mean = 0 and variance = 1.
Normal curve is the meaning of standard normal distribution?
No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
Is the standard normal curve is between Z 3.00 and Z 3.00?
No, it extends to infinity in both directions.
What is the area within the normal curve between -1SD and plus 1 SD?
The area within the normal curve between -1 standard deviation (SD) and +1 SD is approximately 68%. This means that about 68% of the data falls within one standard deviation of the mean in a normal distribution.
