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Question 1
Calculate the Standardized Test Statistic You are testing the claim that the mean GPA of night students is greater than the students.

You sample 40 night students, and the sample mean GPA is 2.31 with a standard de
You sample 30 day students, and the sample mean GPA is 2.63 with a standard devia
Calculate the test statistic, rounded to 2 decimal places.
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Answer

Calculate the test statistic: z = \(\frac{(x_\text{bar1} - x_\text{bar2}) - 0}{SE}\).

Steps

Step 1 ：Find the difference of sample means: x_bar1 - x_bar2 = 2.31 - 2.63.

Step 2 ：Calculate the standard error: SE = \(\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}\).

Step 3 ：Calculate the test statistic: z = \(\frac{(x_\text{bar1} - x_\text{bar2}) - 0}{SE}\).