Critical-Value|Critical-Value Approach to Hypothesis Testing

9.2 Critical-Value Approach to Hypothesis Testing

example:

对于mean 值 275 的假设:

有一个关于sample mean的distribution:

已知population 标准差和sample size=25的情况下:

标准型Z为:

其中,significant level=5%,已知的mean 即为Ho假设中的值且population 标准差已经提供

扫描二维码关注公众号,回复: 6894161 查看本文章

存在这样的mean distribution:

通过term 解释得到:

 

 

Obtaining Critical Values

此时重新理解significant level:即前提是已知H0为真,但是由于sample 问题导致z值落入reject region,此时的 significant level 为由于由于sample 问题导致z值落入reject region 的概率

Keep in mind, however, that because of the central limit theorem, the one-mean z-test will work reasonably well when the sample size is large, regardless of the distribution of the variable

example:

Determine the critical value(s) for a one-mean z-test at the 5% significance level(α = 0.05) if the test is

 

一般的:

 常用的z分布:

所以假设检验的一般步骤是:

猜你喜欢

转载自www.cnblogs.com/yuanjingnan/p/11263246.html
今日推荐