CFA考試
報考指南考試報名準考證打印成績查詢備考資料考試題庫

重置密碼成功

請謹慎保管和記憶你的密碼,以免泄露和丟失

注冊成功

請謹慎保管和記憶你的密碼,以免泄露和丟失

Distribution of the Sample Mean

幫考網校2020-08-07 17:44:32
|
The distribution of the sample mean is a probability distribution that describes the possible values of the mean of a random sample taken from a population. It is also known as the sampling distribution of the mean.

The distribution of the sample mean is important in statistics because it allows us to make inferences about the population mean based on the sample mean. The shape of the distribution of the sample mean depends on the sample size, the population standard deviation, and the underlying distribution of the population.

If the population is normally distributed, the distribution of the sample mean will also be normal, regardless of the sample size. This is known as the central limit theorem. If the population is not normally distributed, the distribution of the sample mean may still be approximately normal if the sample size is large enough.

The mean of the distribution of the sample mean is equal to the population mean, while the standard deviation is equal to the population standard deviation divided by the square root of the sample size. As the sample size increases, the standard deviation of the distribution of the sample mean decreases, which means that the sample mean becomes a more precise estimate of the population mean.

Overall, the distribution of the sample mean is a fundamental concept in statistics and is used extensively in hypothesis testing, confidence intervals, and other statistical analyses.
幫考網校
|

推薦視頻

推薦文章

  • 暫無文章