Question

1 sample of students' scores was taken from a hybrid class and another sample taken from a standard lecture format class. Both classes were for the same subject. The mean course score in percent for the 24 hybrid students is 68 with a standard deviation of 9. The mean scores of the 24 students form the standard lecture class was 83 percent with a standard deviation of 7. find the Test Statistics to test the null hypothesis H0 : µ1 = µ2 against the alternative hypothesis Ha : µ1 ≠ µ2?

Answer 1

For the given null and alternative hypothesis, ;

the test statistic is given by :

with degrees od freedom,

where,

Given:

	Sample1 (Hybrid class)	Sample2 (Standard lecture class)
sample size
sample mean
sample standard deviation

So the test statistic is calculated as