Hi, 

Note:  6 students

Using the Excel Data Analysis Tool:

Before: 40 38 45 18 25 41      || m = 34.5 and SD = 10.56

 After: 48 40 45 42 45 60      || m = 46.7  and SD = 7.09



  t = 

 degrees of Freedom = (6+6)-2= 10 ... t = 2.3495, 5% significance level...

(Using t-test Table or t-test Calculator)

 YES,we can conclude that there is significant improvement in marks after special classes.  

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