作者blitz1991 (blitz)
看板Statistics
標題[問題] 算型二誤差的問題
時間Sun Jan 2 11:29:25 2011
題目
Consider the following statistical hypothesis:
H0: = 28
H1: ≠28
(a) The population standard deviation assumed known at σ= 6
, and the sample size is 100. Withα=0.05
, what is the Type II error for = 27?
(b) What is the power at = 26?
我只會單尾檢定的算法,遇到雙尾卡住...請版上強者指點,謝謝
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◆ From: 111.248.5.192
1F：推 hqq1232000:two tail α=0.025 Z=1.96 n' -1,96 01/02 11:35
2F：→ blitz1991:rejection 那邊怎樣設定? 01/02 13:55
3F：→ blitz1991:用critical value approach怎麼算呢 01/02 13:57
4F：推 yhliu:|Xbar-28|/0.6 > 1.96 <==> Xbar<28-1.176 or Xbar>28+1.176 01/02 15:15
5F：→ blitz1991:再問一下...快通了. 就是xbar算出來有兩個值 01/02 16:43
6F：→ blitz1991:要用哪一個去算p-value 我用答案反推是xbar=26.824 01/02 16:44
7F：→ blitz1991:請問要怎樣決定用哪一個xbar 01/02 16:45
8F：→ yhliu:power=P[Xbar<26.824 or Xbar>29.176; mu=26] 01/02 17:15
9F：→ yhliu:power 與 p-value 是兩回事. 01/02 17:16