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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.
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.
What is the mean of standard normal curve?
The mean of a standard normal curve is 0. This curve, which is a type of probability distribution known as the standard normal distribution, is symmetric and bell-shaped, centered around the mean. Additionally, the standard deviation of a standard normal curve is 1, which helps define the spread of the data around the mean.
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.
Find the area under the standard normal curve between -1.33 and the mean P(-1.33?
To find the area under the standard normal curve between -1.33 and the mean (0), we can use the standard normal distribution table or a calculator. The area to the left of -1.33 is approximately 0.0918. Since the total area under the curve is 1 and the curve is symmetrical around the mean, the area between -1.33 and 0 is about 0.5 - 0.0918 = 0.4082. Thus, the area under the curve from -1.33 to the mean is approximately 0.4082.
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.
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.
Which normal distribution is also the standard normal curve?
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
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 curve?
the standard normal curve 2
What is the area under standard normal distribution curve between z equals 0 and z equals 2.16?
0.4846
What is the area under standard normal distribution curve between z equals 0 and z equals -2.16?
2.16
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.
What must be done to a normal curve to make it into a standard normal distribution curve?
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
How the normal distribution could be transformed to a standard normal distribution?
You may transform a normal distribution curve, with, f(x), distributed normally, with mean mu, and standard deviation s, into a standard normal distribution f(z), with mu=0 and s=1, using this transform: z = (x- mu)/s
Why if a probability distribution curve is bell shaped why is this a normal distribution?
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
How do you use the z-score to determine a normal curve?
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
