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If a Normal Distribution has a mean of 400 and a standard deviation of 50 what is the point in the distribution below which 2.5 percent of the expenses fell?
The basic formula we need is the Standard Normal Distribution formula (see related link) which is Z = (x - mean)/std dev. Solve for x, and we get: x = mean + z*std dev. From the Z table (see related link), area = .025 (your 2.5% in decimal form) we get the z value of -1.96. We can now solve for x. X = 400 + (-1.96)*50 or 302. Therefore, 302 is the point (value) below which 2.5% expenses fell (I assume it is $302).
What else can I help you with?
What is the standard deviation of a standard normal distribution?
The standard deviation in a standard normal distribution is 1.
In the standard normal distribution the standard deviation is always what?
The standard deviation in a standard normal distribution is 1.
When the population standard deviation is known the sampling distribution is a?
normal distribution
Is the range in distribution ever smaller than standard deviation in a distribution?
No.
What is the standard deviation of the mean of 9.65?
It depends on what the distribution is. In a Normal or Gaussian distribution, the standard deviation is the square root of the mean, so it could be 3.1 but, again, it depends on the distribution.
What is the standard deviation of a standard normal distribution?
The standard deviation in a standard normal distribution is 1.
In the standard normal distribution the standard deviation is always what?
The standard deviation in a standard normal distribution is 1.
How does standard normal distribution differ from normal distribution?
The standard normal distribution has a mean of 0 and a standard deviation of 1.
What does standard deviation tell about distribution and varity?
It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.
What is the distribution with an means of 0 and a standard deviation of 1?
It is called a standard normal distribution.
Is the range in distribution ever smaller than standard deviation in a distribution?
No.
Is the uniform probability distribution's standard deviation proportional to the distribution's range?
no
When the population standard deviation is known the sampling distribution is a?
normal distribution
When the population standard deviation is not known the sampling distribution is a?
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
What is the standard deviation of the mean of 9.65?
It depends on what the distribution is. In a Normal or Gaussian distribution, the standard deviation is the square root of the mean, so it could be 3.1 but, again, it depends on the distribution.
Why does a Uniform distribution have a greater standard deviation?
The answer depends on greater standard deviation that WHAT!
The mode and standard deviation of a distribution are 55 and 4.33 respectively?
The statement is probably: The mean and standard deviation of a distribution are 55 and 4.33 respectively.
