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Q: What is the population standard deviation equal to for the standard error distribution?
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What is the standard error of the sampling distribution equal to when you do not know the population standard deviation?

You calculate the standard error using the data.


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.


Can a standard deviation of a sample be equal to a standard deviation of a population?

Yes


True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?

True.


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.


Are the mean and standard deviation equal in a poisson distribution?

The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.


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.


If the outcomes of a random variable follow a Poisson distribution then their?

means equal the standard deviation


Is the middle spread that is the middle 50 percent of the normal distribution is equal to one standard deviation?

false


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.


Can a standard deviation of a sample be less than a standard deviation of a population?

Sure it can. But in the survey business, the trick is to select your sample carefully so that they'll be equal, i.e. a sample that is accurately representative of the population.