Last year the mean price of apartments in Zhuhai was 9450 RMB/m² with a standard deviation 1035 RMB/m². A sample of 47 recent deals revealed that the mean was 9850 RMB/m². Is there sufficient evidence to claim that the mean price of apartments in Zhuhai has moved higher this year with a = 0.01, both by computing the test statistic and the p-value? What test statistic should be used?