No.
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.
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.
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
normal distribution
NO
The standard deviation associated with a statistic and its sampling distribution.
You calculate the standard error using the data.
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 central limit theorem
No, it is not.
The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.
the standard deviation of the population(sigma)/square root of sampling mean(n)
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.