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Is the mean of a standard normal distribution is always equal to 1?
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What is the perfect standard normal distribution?
The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.
What information do you need to calculate a probability with a normal distribution?
Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
What value of Z from the standard normal distribution table has an area to the left probability equal to 0.0764?
-1.43 (approx)
What value of Z from the standard normal distribution has an area probability to the right equal to 0.0643?
z = 1.52 (approx)
Is the total area under a normal distribution curve to the right of the mean is always equal to 0?
100%
What is the perfect standard normal distribution?
The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.
What is the expected value of the standard normal distribution equal to?
The expected value of the standard normal distribution is equal to the total amount of the value. It is usually equal to it when the value works out to be the same.
Area to the left of the mean in a normal distribution is equal to?
One standard deviation
What are the median and mode of a normal distribution if the mean is 22 and the standard deviation is 4?
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
Why is t score equal to z score in a normal distribution?
Because as the sample size increases the Student's t-distribution approaches the standard normal.
What information do you need to calculate a probability with a normal distribution?
Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
When the population standard deviation is unknown the sampling distribution is equal to what?
The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.
Is the middle spread that is the middle 50 percent of the normal distribution is equal to one standard deviation?
false
What value of Z from the standard normal distribution table has an area to the left probability equal to 0.0764?
-1.43 (approx)
What value of Z from the standard normal distribution has an area probability to the right equal to 0.0643?
z = 1.52 (approx)
Is the total area under a normal distribution curve to the right of the mean is always equal to 0?
100%
Are these true of normal probability distribution IIt is symmetric about the mean TTotal area under the normal distribution curve is equal to 1 DDistribution is totally described by two quantities?
Yes, it is true; and the 2 quantities that describe a normal distribution are mean and standard deviation.
