题目
Problem
A factory produces metal discs. The manager claims that the diameters of these discs have a median of 22.0 mm. The diameters, in mm, of a random sample of 12 discs produced by this factory are as follows.
(a) Carry out a Wilcoxon signed-rank test, at the 10% significance level, to test whether there is any evidence against the manager’s claim.
[7]
(b) State an assumption that is necessary for this test to be valid.
[1]
题目中文翻译
一家工厂生产金属圆片。经理声称这些圆片直径的中位数为 22.0 mm。该工厂生产的 12 个圆片的随机样本直径如下，单位为 mm。
(a) 在 10% 显著性水平下进行 Wilcoxon 符号秩检验，检验是否存在反对经理声称的证据。
(b) 说明使该检验有效所需要的一个假设。