北京分公司顾客用餐体验评分统计 | ||||||||||
分值区间 | ||||||||||
频率 | 0.01 | 0.04 | 0.05 | 0.2 | 0.1 | 0.15 | 0.25 | 0.1 | 0.05 | 0.05 |
太原分公司顾客用餐体验评分统计 | ||||||||||
分值区间 | ||||||||||
频率 | 0.01 | 0.01 | 0.02 | 0.06 | 0.1 | 0.2 | 0.2 | 0.25 | 0.1 | 0.05 |
(1)若两个分公司分别访谈了500位顾客,设评分为70分以上的为评价满意,否则记作评价不满意,请填写下面的列联表,并根据小概率值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0298d106f2b72aadf3cffce041a25da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953e89f7e797bf8fe9ff31e0d2f66728.png)
评价满意 | 评价不满意 | 合计 | |
北京 | |||
太原 | |||
合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
0.1 | 0.05 | 0.01 | 0.005 | |
2.706 | 3.841 | 6.635 | 7.879 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
年龄低于50周岁 | 年龄不低于50周岁 | 总计 | |
持支持态度 | 180 | 60 | 240 |
持不支持态度 | 30 | 30 | 60 |
总计 | 210 | 90 | 300 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83caa0ad94044a1e206b1cc0b3f85080.png)
(2)若该地区某大型连锁超市在安装了“刷脸支付”仪器后,使用“刷脸支付”的人数y(单位:个)与第x天的数据统计如表所示:
第x天 | 2 | 4 | 6 | 8 | 10 | 12 | 14 |
使用人数y(单位:个) | 80 | 83 | 85 | 90 | 95 | 97 | 100 |
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929ef3bed0a4bdd22f39e036506dc481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ec30e9316c79d956b7c9a483a91632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebff20f21ae41fd8d1f1e3145895842.png)
附:
0.1 | 0.05 | 0.01 | 0.005 | 0.001 | |
2.706 | 3.841 | 6.635 | 7.879 | 10.828 |
A.在两个变量![]() ![]() ![]() |
B.若所有样本点都在经验回归方程![]() ![]() |
C.决定系数![]() |
D.独立性检验一定能给出明确的结论 |
(1)完成以下的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
茎高 | 倒伏 | 合计 | |
抗倒伏 | 易倒伏 | ||
矮茎 | 16 | ||
高茎 | 25 | ||
合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdaf501302beeec9d077be02909e3bd.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7dc70b5e1ba847b9918a50f67bfbe8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
0.05 | 0.01 | 0.001 | |
3.841 | 6.635 | 10.828 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1d8eb59a6bd9b289785c9a5126de73.png)
参考数据:
0.05 | 0.025 | 0.010 | |
3.841 | 5.024 | 6.635 |
(1)完成列联表,并判断能否在犯错误的概率不超过0.025的前提下认为“运动达标”与“性别”有关.
运动达标 | 运动不达标 | 总计 | |
男生 | |||
女生 | |||
总计 |
好评 | 差评 | 合计 | |
男性 | 70 | 110 | |
女性 | 60 | ||
合计 | 220 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93f43c77e96f7f0cc838495752f9363.png)
(2)从给出“好评”的观众中按性别用分层抽样的方法抽取10人,再从这10人中随机抽出3人送电影优惠券,记随机变量X表示这3人中女性观众的人数,求X的分布列和数学期望.
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7dc70b5e1ba847b9918a50f67bfbe8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
参考数据:
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
周数(x) | 1 | 2 | 3 | 4 | 5 |
治愈人数(Y) | 2 | 17 | 36 | 103 | 142 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6554fcf2f299fd8fdfc3175c1f86632a.png)
A.0 | B.2 | C.3 | D.―2 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
(1)现对某时间段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
选择甲公司直播间购物 | 选择乙公司直播间购物 | 合计 | |
用户年龄段![]() | ![]() | ![]() | |
用户年龄段![]() | ![]() | ||
合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b253ec362b46012c30d1eb2d3030ee2a.png)
(2)若小李连续两天每天选择在甲、乙其中一个直播间进行购物,第一天等可能地从甲、乙两家中选一家直播间购物,如果第一天去甲直播间购物,那么第二天去甲直播间购物的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ee5940db3eca3be22205d12bae26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66577f4cb97c0d2a213ab1a9a02d1324.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953e89f7e797bf8fe9ff31e0d2f66728.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
表1
性别 | 患感冒的情况 | 合计 | |
患感冒人数 | 不患感冒人数 | ||
男生 | 30 | 70 | 100 |
女生 | 42 | 58 | p |
合计 | m | n | 200 |
温差x | 6 | 7 | 8 | 9 | 10 |
患感冒人数y | 8 | 10 | 14 | 20 | 23 |
(2)依据小概率值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead9d6ff51996f3ebace6f212e11a9e4.png)
(3)根据表2数据,计算y与x的相关系数r,并说明y与x的线性相关性强弱(若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb1c91620f163dfe969ec894b055b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17366d0d11336e19e102713aeb797e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14ee7b7c17a51b073f37f1eee76c8ec.png)
附表:
![]() | 0.100 | 0.050 | 0.010 | 0.001 |
![]() | 2.706 | 3.841 | 6.635 | 10.828 |
参考公式及数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897dd999fc9b09795175844a1f2a1736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf83b89f7235bca97458944ecb51b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edfd9f1e4e4d199966b60b6b5483524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93b9426457f23042a824f07b6392da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca3c23c5671f24efe3971afdef9d9c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)完成下面2×2列联表,根据小概率值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83caa0ad94044a1e206b1cc0b3f85080.png)
有兴趣 | 没有兴趣 | 合计 | |
男 | |||
女 | 75 | ||
合计 | 600 |
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
0.100 | 0.050 | 0.025 | 0.010 | 0.001 | |
2.706 | 3.841 | 5.024 | 6.635 | 10.828 |