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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).

Q: 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?

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The standard deviation in a standard normal distribution is 1.

The standard deviation in a standard normal distribution is 1.

normal distribution

No.

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.

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The standard deviation in a standard normal distribution is 1.

The standard deviation in a standard normal distribution is 1.

The standard normal distribution has a mean of 0 and a standard deviation of 1.

It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.

The mean of a distribution gives no information about the standard deviation.

It is called a standard normal distribution.

no

No.

normal distribution

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.

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.

The answer depends on greater standard deviation that WHAT!