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11.14:章节解决方案(练习 + 家庭作业)

  • Page ID
    204596
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    1

    平均值 = 25 标准差 = 7.0711

    3

    当自由度数大于 90 时

    5

    \(df = 2\)

    6

    对单方差的检验

    8

    左尾试验

    10

    \(H_0: \sigma^2 = 0.812\);

    \(H_a: \sigma^2 > 0.812\)

    12

    对单方差的检验

    16

    拟合优度测试

    18

    3

    20

    2.04

    21

    我们拒绝否定原假设。 没有足够的证据表明观察到的考试分数与预期的考试分数有显著差异。

    23

    \(H_0\):艾滋病病例的分布遵循圣塔克拉拉县普通人口的种族。

    25

    右尾

    27

    2016.136

    28

    • 30

      对独立性的考验

      对独立性的考验

      34

      8

      36

      6.6

      39

      \ (\ pageIndex {54}\) “>
      每天吸烟量非裔美国人夏威夷本地人拉丁美洲人日裔美国人白色总计
      1-109,8862,74512,8318,3787,65041,490
      11-206,5143,0624,93210,6809,87735,065
      21-301,6711,4191,4064,7156,06215,273
      31+7597888002,3053,9708,622
      总计18,8308,01419,96926,07827,55910,0450
      桌子\(\PageIndex{54}\)

      41

      \ (\ pageIndex {55}\) “>
      每天吸烟量非裔美国人夏威夷本地人拉丁美洲人日裔美国人白色
      1-107777.573310.118248.0210771.2911383.01
      11-206573.162797.526970.769103.299620.27
      21-302863.021218.493036.203965.054190.23
      31+1616.25687.871714.012238.372365.49
      桌子\(\PageIndex{55}\)

      43

      10,301.8

      44

      权利

      46

      1. 48

        测试同质性

        测试同质性

        52

        表中的所有值都必须大于或等于五。

        54

        3

        57

        拟合优度测试

        59

        对独立性的考验

        61

        答案会有所不同。 示例答案:独立性检验和同质性检验都以相同的方式计算检验统计量\(\sum_{(i j)} \frac{(O-E)^{2}}{E}\)。 此外,所有值都必须大于或等于五。

        63

        真的

        65

        假的

        67

        225

        69

        \(H_0: \sigma^2 \leq 150\)

        71

        36

        72

        查看学生的解决方案。

        74

        声称差异不超过150分钟。

        76

        a 学生的\(t\)正态分布或正态分布

        78

        1. 80
          1. 82
            1. 84
              1. 87。 \ (\ pageIndex {56}\) “>
                婚姻状况百分比预期频率
                从未结婚31.3125.2
                已婚56.1224.4
                寡妇2.510
                离婚/分居10.140.4
                桌子\(\PageIndex{56}\)
                1. 89
                  1. 91
                    1. 94

                      真的

                      假的

                      98

                      1. 100
                        1. 102
                          1. 104
                            1. 106
                              1. 108

                                真的

                                真的

                                112

                                1. 114
                                  1. 116
                                    1. 118
                                      1. 120
                                        1. 122
                                          1. 检验统计量始终为正,如果预期值和观测值不接近,则检验统计量很大,原假设将被拒绝。
                                          2. 测试以查看数据是否 “过于拟合” 分布还是过于完美。

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