[問題] 算型二誤差的問題

看板Statistics作者 (blitz)時間15年前 (2011/01/02 11:29), 編輯推噓2(2推 0噓 7→)
留言9則, 3人參與, 最新討論串1/1
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 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.248.5.192
推
01/02 11:35, , 1F
two tail α=0.025 Z=1.96 n' -1,96
01/02 11:35, 1F
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01/02 13:55, , 2F
rejection 那邊怎樣設定?
01/02 13:55, 2F
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01/02 13:57, , 3F
用critical value approach怎麼算呢
01/02 13:57, 3F
推
01/02 15:15, , 4F
|Xbar-28|/0.6 > 1.96 <==> Xbar<28-1.176 or Xbar>28+1.176
01/02 15:15, 4F
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01/02 16:43, , 5F
再問一下...快通了. 就是xbar算出來有兩個值
01/02 16:43, 5F
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01/02 16:44, , 6F
要用哪一個去算p-value 我用答案反推是xbar=26.824
01/02 16:44, 6F
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01/02 16:45, , 7F
請問要怎樣決定用哪一個xbar
01/02 16:45, 7F
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01/02 17:15, , 8F
power=P[Xbar<26.824 or Xbar>29.176; mu=26]
01/02 17:15, 8F
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01/02 17:16, , 9F
power 與 p-value 是兩回事.
01/02 17:16, 9F
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文章代碼(AID): #1D7_4R0O (Statistics)