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CCCJY！ · 2022年12月01日

样本均值？

  1. CFA I
  2. Quantitative

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%.

为什么’IBM’s average capitalization growth rate”是样本均值的概念？样本均值不是sample mean嘛？我理解这就是求总体概率的意思。

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星星_品职助教 · 2022年12月01日

同学你好，

本题的总体为BMI“market capitalization growth rates”，总体均值和标准差均是已知的常数，不需要求。常数也不需要计算概率。

根据题干中的“ BIM's average capitalization growth rate will over 12.32% in the next three years (all the data are monthly statistics)”可知：

1）这是一个样本，sample size为3×12=36；

2）要计算的是这36个月的样本的均值，即average的capitalization growth rate，也就是样本均值；

jvniki · 2022年12月02日

所以和12.32%的关系是啥啦。0.009又是哪里来的呢

星星_品职助教 · 2022年12月02日

@jvniki

同学你好，以上问题已在单独的提问中回复。相似的问题提问一次即可。

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