Wilcoxon rank-sum test

A question is this type if and only if it requires performing a Wilcoxon rank-sum test (Mann-Whitney U test) to compare two independent samples.

1 questions · Standard +0.3

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CAIE Further Paper 4 2022 November Q6
10 marks Standard +0.3
6 The manager of a technology company \(A\) claims that his employees earn more per year than the employees at technology company \(B\). The amounts earned per year, in hundreds of dollars, by a random sample of 12 employees from company \(A\) and an independent random sample of 12 employees from company \(B\) are shown below.
Company \(A\)461482374512415452502427398545612359
Company \(B\)454506491384361443401472414342355437
  1. Carry out a Wilcoxon rank-sum test at the \(5 \%\) significance level to test whether the manager's claim is supported by the data.
  2. Explain whether a paired sample \(t\)-test would be appropriate to test the manager's claim if earnings are normally distributed.
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