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Q: As the sample size increases the standard deviation of the sampling distribution increases?

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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.

NO

The standard deviation associated with a statistic and its sampling distribution.

You calculate the standard error using the data.

No, it is not.

Related questions

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.

normal distribution

NO

The standard deviation associated with a statistic and its sampling distribution.

You calculate the standard error using the data.

No, it is not.

the central limit theorem

Thanks to the Central Limit Theorem, the sampling distribution of the mean is Gaussian (normal) whose mean is the population mean and whose standard deviation is the sample standard error.

The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.

The standard deviation is used in the numerator of the margin of error calculation. As the standard deviation increases, the margin of error increases; therefore the confidence interval width increases. So, the confidence interval gets wider.

The standard deviation in a standard normal distribution is 1.

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