Maths - Speech or Presentation Example

Statistics Samples The interest is to determine whether the new program established to aid in improving the performance of students has an impact. As such, the sample score is 40 pairs of students. The first sample is the pretest where 40 students who are not involved in the program participate. The second sample is the posttest where 40 students are involved in the program participate. The relationship of these samples is that the pretest has corresponding posttest of the students. Problem The problem involves determination of the performance of the students in terms of scores.

Thus, when each student (ith) score prior and after participation in the program is xi and yi respectively, it is clear that the pair (xi, yi) gives a correspondence of the students. Degrees of freedom n-1= 40-1= 39 v = 10Null hypothesis HO: The is no significant difference on the program scores before and after implementation. This indicates that the program did not achieve success. Alternative hypothesis H1: A significant difference exists in the program scores before and after implementation.

Such is a clear indication of the success of the program. Given a critical value of 0.05Test statistic T = 3.863The significance level α = 0.05Critical value (upper tail): t1-α/2,ν = 2.0227 (from tables) Critical region: Reject H0 if |T| > 2.0227 The absolute value is 3.863 for the test statistics, which is greater than the critical value of 2.0227. Hence, the null hypothesis is rejected. The conclusion is that at the level of significance of 0.05 the two sets of students have different performances based on the program.