Question 2 The GPAs of all 5000 students enrolled at a university have an approximately normal distribution [5] with a mean of 3.5 and a standard deviation of 0.35. Let ¯x be the mean GPA of a random...

Question 2

The GPAs of all 5000 students enrolled at a university have an approximately normal distribution [5]
with a mean of 3.5 and a standard deviation of 0.35. Let ¯x be the mean GPA of a random sample
of 35 students selected from this university. Find the mean and standard deviation of ¯x, and
comment on the shape of its sampling distribution.