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JanetS · 2023年10月17日

t分布 还是Z分布

  1. CFA I
  2. Quantitative

NO.PZ2015120604000147

问题如下：

Here is a table discribing sample statistics from two bonds' rate of return which are both normally distributed over the past decades. If an investor is considering whether the mean of bond B is greater than 26%,

which of the following conclusion is least appropriate (significant level=5%) ?

选项：

A.

It is appropriate to use the Z-test.

B.

The mean of bond B is not significant greater than 26%.

C.

It is a one-tailed test.

解释：

B is correct.

It is appropraite to ues the one-tailed Z-test because the sample size of bond B is bigger than 30.

The null hypothesis is: H0: μ ≤ 26%

The test statistic:


α= 5% indicates the critical value is equal to ±1.65.

Because 1.91>1.65, therefore, we should reject the null hypothesis.

我看了所有助教的解释还是没懂…

本题计算的时候用z分布1.65，但是答案如果选择z分布又说是错的…请问到底该怎么区分。

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1 个答案

星星_品职助教 · 2023年10月17日

同学你好，

选择z分布并没有错，A选项的描述是正确的。

但由于本题选择的是“ least appropriate”，所以不选A。

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