题目
Problem
A shop selling electrical goods has a team of three salespeople: Avril, Ben and Charlie. The manager wishes to investigate whether the salespeople are equally successful at selling particular types of items. The following table gives a record of a random sample of 250 sales of laptops, cameras and televisions, with the number sold by each of the three salespeople.
| Salesperson | Laptop | Camera | Television | Total |
|---|---|---|---|---|
| Avril | 31 | 40 | 24 | 95 |
| Ben | 23 | 45 | 29 | 97 |
| Charlie | 21 | 25 | 12 | 58 |
| Total | 75 | 110 | 65 | 250 |
Test, at the 10% significance level, whether there is independence between the type of item sold and the salesperson.
[7]
题目中文翻译
一家销售电器商品的商店有三名销售人员:Avril、Ben 和 Charlie。经理希望调查这些销售人员在销售特定类型商品方面是否同样成功。下表记录了随机抽取的 250 次笔记本电脑、相机和电视销售,并给出了三名销售人员各自售出的数量。
| 销售人员 | 笔记本电脑 | 相机 | 电视 | 总计 |
|---|---|---|---|---|
| Avril | 31 | 40 | 24 | 95 |
| Ben | 23 | 45 | 29 | 97 |
| Charlie | 21 | 25 | 12 | 58 |
| 总计 | 75 | 110 | 65 | 250 |
在 10% 显著性水平下,检验售出商品类型与销售人员之间是否独立。