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勇往直前 · 2022年04月06日

请问什么时候除以根号下n-1.总记得哪里有标准差除以根号下n-1.

NO.PZ2015120604000178

问题如下:

BIM is a well-developed public company and its market capitalization growth rates over past few decades are normally distributed.The population has a mean of 10% and a standard deviation of 5.4%. An investor wants to figure out the probability that BIM's average capitalization growth rate will over 12.32% in the next three years (all the data are monthly statistics).Which of the following option is most accurate?

选项:

A.

0.5%.

B.

1%.

C.

5%.

解释:

A is correct.

It is appropriate to use the central limit theroy to calculate. Standard error=5.4%/36\sqrt {\rm{36}} P(X>12.32%)=P(Z> (12.32%-10%)/0.009)=P(Z>2.58). So the corresponding probability is 0.5%.

既然是样本,为什么不能是除以n-1. 很多概念很容易记混淆了。

1 个答案

星星_品职助教 · 2022年04月07日

同学你好,

给出一系列数字,计算 样本标准差时,公式分母为n-1,如下:


当总体标准差或样本标准差已经给出,同时题干中给出了sample size。根据中心极限定理,计算标准误的公式分母为n,如下:

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