Chair asked in 社會與文化語言 · 1 decade ago

請問一下有關分配的統計問題?我想知道是用T分配還是F分配

2. A quality manager believes that experienced product inspectors are more consistent than novice inspectors when determining whether products are defective. The same 200 items were inspected by 11 experienced and 11 inexperienced inspectors. Below are the results for each group.

noviceexperienced

Mean32.8333320.58333

Standard Deviation8.6427415.743903

n1111

A. State the null and alternative hypotheses to determine whether the variance for novice inspectors is greater than the variance for experienced inspectors.

B. State the decision rule for the above hypothesis.

C. What can the manager conclude from the above data, why?

1 Answer

Rating
  • 阿泰
    Lv 6
    1 decade ago
    Favorite Answer

    此題要檢定兩母體變異數的大小,所以要用F檢定來做,而非t檢定,題目解題如下:

    A.

    H0: The variance for novice inspectors is not greater than the variance for experienced inspectors. (sigman2<=sigmae2)

    against

    H1: The variance for novice inspectors is greater than the variance for experienced inspectors. (sigman2>sigmae2)

    B.

    拒絕域={F>F0.05(11-1, 11-1)=2.978}

    若F值>2.978,則拒絕H0,反之,則不拒絕H0。

    C.

    檢定統計量F=Sn2/Se2=8.642741/5.743903=1.50468

    F值=1.50468<2.978,不落在拒絕,故不拒絕H0,表示在顯著水準0.05下,新手檢查員的變異數沒有大於有經驗檢查員的變異數。

    Source(s): 還蠻懂統計的自己
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