[
 {
  "id": "statistics_0",
  "question": "以下哪一种情形涉及定性数据的收集____。",
  "A": "质量控制工程师测量电灯泡的寿命",
  "B": "社会学家通过抽样调查来估计广州市市民的平均年收入",
  "C": "运动器材厂家在区分各大俱乐部棒球选手是左撇子还是右撇子时做的调查",
  "D": "婚礼策划公司通过抽样调查来估计上海市市民举办婚礼的平均开销",
  "answer": "C"
 },
 {
  "id": "statistics_1",
  "question": "考虑总体均值的95.44$\\%$置信度的置信区间，已知总体服从正态分布且标准差为10；要使得到的置信区间的半径不超过1，需要的最小样本容量为____。",
  "A": "100",
  "B": "400",
  "C": "900",
  "D": "1600",
  "answer": "B"
 },
 {
  "id": "statistics_2",
  "question": "设随机变量$X$服从$N(\\mu,4^{2})$，$Y$服从$N(\\mu,5^{2})$。记$P_{1}=P(X\\leq\\mu-4)$，$P_{2}=P(Y\\geq\\mu+5)$，则____。",
  "A": "对任意实数$\\mu$，都有$P_{1}=P_{2}$",
  "B": "对任意实数$\\mu$，都有$P_{1}<P_{2}$",
  "C": "对任意实数$\\mu$，都有$P_{1}>P_{2}$",
  "D": "只对$\\mu$的个别值，才有$P_{1}=P_{2}$",
  "answer": "A"
 },
 {
  "id": "statistics_3",
  "question": "劳动生产率可变组成指数为134.2$\\%$，职工人数结构影响指数为96.3$\\%$，所以劳动生产率指数为____。",
  "A": "39.36%",
  "B": "71.76%",
  "C": "129.23%",
  "D": "139.36%",
  "answer": "D"
 },
 {
  "id": "statistics_4",
  "question": "已知X服从二项分布，数学期望$E(X)=2.4$且方差$D(X)=1.44$，则二项分布的参数为____。",
  "A": "$n=4$，$p=0.6$",
  "B": "$n=6$，$p=0.4$",
  "C": "$n=8$，$p=0.3$",
  "D": "$n=24$，$p=0.1$",
  "answer": "B"
 }
]