Grade 3 students in a large school division are given a spelling test at the beginning of the year. They are given another spelling test (of equal difficulty) at the end of the year. A sample of 30 students is selected and a hypothesis test is to be conducted to determine whether there is significant evidence at a=0.05 that the spelling ability has improved. The mean difference in the scores in the sample was 2.40 and the sample standard deviation of differences was 8.00. State the null and alternative hypotheses of the matched pairs t-test, compute the P-value, and then provide a carefully worded conclusion.