Secondary schools in a region conduct ability testing at the start of Year 7 and the start of Year 8. Each year a regional education officer randomly selects 240 Year 7 students and 240 Year 8 students from across the region. The results for last year are summarised in the table below. The regional education officer claims that there is no difference between the mean scores of these two year groups. Test the regional education officer's claim at the 1\% significance level. You should state your hypotheses, test statistic and critical value clearly. (7)

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