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 approptiate 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: ≤
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.
我算出了1.91,然后用1.91去跟置信区间的关键值做比较。这个关键值,我看解题里面是1.65,但是5%是单尾的吖,为什么还是1.65呢?双尾±1.65吖。所以,我找的是t分布,单尾5%的,值是1.68。然后,1.91是大于1.68的,也就是在他的j Object的区间里,所以拒绝原假设,应该所以 H0≤26%是错误的。那么就是均值>26%是正确呢,这样不是应该选择B吗?