Question

The sample consisted of 55 night students, with a sample mean GPA of 2.3 and a standard deviation of 0.02, and 50 day students, with a sample mean GPA of 2.35 and a standard deviation of 0.08. The test statistic is: (to 2 decimals)

Answer 1

-4.30

Explanation:

The computation of the test statistic is shown below:

Data are given in the question

Sample = 55 night students

Sample mean = 2.3

Standard deviation = 0.02

Sample = 50 day students

Sample mean = 2.35

Standard deviation = 0.08

Based on the above information, the test statistic is

`z = \frac{\bar x_1 - \bar x_2}{\sqrt{(\sigma _1^2)/(n_1) + {\sqrt{(\sigma _2^2)/(n_2)}}}}`

`z = \frac{2.3 - 2.35}{\sqrt{((0.02)^2)/(55) + {\sqrt{((0.08)^2)/(50)}}}}`

= -4.30

Hence, the test statistic is -4.30