The mean percentage mark for candidates in the 2019 leaving certificate higher level maths exam is 63.3% with a standard deviation of 16.4% the suggestion that candidate to build the results have on average similar results to all of the candid it is being investigated random sample of candidate to appeal has taken the mean percentage mark the sample of 67.5% question one show that of the sample size was 25 then this result is not significant at the 5% level question to show that if the sample size was 100 and this result is significant at the 5% level question three find a small sample size for which this result could be regarded as significant at the 5% level