Question

You are testing the claim that the mean GPA of night students is different than the mean GPA of day students.

You sample 35 night students, and the sample mean GPA is 2.84 with a standard deviation of 0.75

You sample 30 day students, and the sample mean GPA is 2.42 with a standard deviation of 0.43

Calculate the test statistic, rounded to 3 decimal places

Answer 1

Given test:

and,

To find the test statistic value

For the given test, we have test statistic, under H0, as:

  

Substituting the given values, we get,

  

  

Therefore, the test statistic is 2.817