Calculate the test statistic

Question

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

You sample 20 night students, and the sample mean GPA is 2.11 with a standard deviation of 0.95

You sample 25 day students, and the sample mean GPA is 2.35 with a standard deviation of 0.99

Calculate the test statistic, rounded to 3 decimal places

Answer 1

xbar1 = sample mean 1 = 2.11

sd1 = standard deviation 1 = 0.95

n1 = sample size 1 = 20

xbar2 = sample mean 2 = 2.35

sd2 = standard deviation 2 = 0.99

n2 = sample size 2 = 25

test statistic = t = (xbar1 - xbar2)/sqrt(sd1^2/n1 + sd2^2/n2)

substitute above values into the equation for t and compute