Question

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

-Sample 1: You sample 55 night students, and the sample mean GPA is 2.19 with population standard deviation of 0.42

-Sample 2: You sample 45 day students, and the sample mean GPA is 2.09 with population standard deviation of 0.48

Calculate the z-test statistic, please keep at least 6 decimal places during the calculation.

Answer 1

The statistical software output for this problem is :

Two sample Z summary hypothesis test: 41 : Mean of population 1 (Std. dev. = 0.42) H2 : Mean of population 2 (Std. dev = 0.48) 41 - 42: Difference between two means H:41 - 12 = 0 HA: H1-4270 Hypothesis test results: Difference ni n2 Sample mean Std.err. Z-stat P-value Hi - H2 55 45 0.1 0.091253892 1.0958437 0.2731

z-test statistic = 1.095844