Q1.

A school conducted special classes to help students with poor verbal english. Each student was required to give a test twice, once before starting the classes (Test 1, see table below)) and once again after completing 4 weeks in the class (Test 2, see table below).

Let Y1 and Y2 be the scores in Test 1 and Test 2 respectively.

Let Y = Y2 - Y1. Hence, if the population mean ? for Y is equal to zero, then the special classes have no effect on the average.

It is planned to test the null hypothesis of the class having no effect, against the alternative hypothesis that there is a positive effect due to the classes.

Student Test 1 Test 2 Abhay 15 8 Bhumika 13 10 Charan 2 15 Dinesh 4 7 Number of Standard Standard Variable Mean Students Deviation Error Y 4 4.000 2.000 1.000