In: Statistics and Probability
The mean GPA of night students is 2.28 with a standard deviation of 0.39. The mean GPA of day students is 1.91 with a standard deviation of 0.64. You sample 30 night students and 20 day students.
a. What is the mean of the distribution of sample mean differences (night GPA - day GPA)?
b. What is the standard deviation of the distribution of sample mean differences (night GPA - day GPA)?
c. Find the probability that the mean GPA of the sample of night students is less than the mean GPA of the sample of day students.