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When the population standard deviation is known the sampling distribution is a?
normal distribution
When the population standard deviation is known the sampling distribution is known as what?
normal distribution
What is the sampling distribution when the standard deviation is known?
When the standard deviation of a population is known, the sampling distribution of the sample mean will be normally distributed, regardless of the shape of the population distribution, due to the Central Limit Theorem. The mean of this sampling distribution will be equal to the population mean, while the standard deviation (known as the standard error) will be the population standard deviation divided by the square root of the sample size. This allows for the construction of confidence intervals and hypothesis testing using z-scores.
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 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.
The standard deviation of the distribution of means is also known as the population standard deviation?
Yes.
When the population standard deviation is known the sampling distribution is a?
normal distribution
When the population standard deviation is known the sampling distribution is known as what?
normal distribution
What is the sampling distribution when the standard deviation is known?
When the standard deviation of a population is known, the sampling distribution of the sample mean will be normally distributed, regardless of the shape of the population distribution, due to the Central Limit Theorem. The mean of this sampling distribution will be equal to the population mean, while the standard deviation (known as the standard error) will be the population standard deviation divided by the square root of the sample size. This allows for the construction of confidence intervals and hypothesis testing using z-scores.
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.
What is standard deviation of the mean?
If repeated samples are taken from a population, then they will not have the same mean each time. The mean itself will have some distribution. This will have the same mean as the population mean and the standard deviation of this statistic is the standard deviation of the mean.
When to use z or t-distribution?
If the sample size is large (>30) or the population standard deviation is known, we use the z-distribution.If the sample sie is small and the population standard deviation is unknown, we use the t-distribution
The t distribution is used to construct confidence intervals for the population mean when the population standard deviation is unknown?
It can be.
What does the sample standard deviation best estimate?
The standard deviation of the population. the standard deviation of the population.
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.
