A college's data about the incoming freshmen indicates that the mean of their high school GPAs was 3.4, with a standard deviation of 0.20;
the distribution was roughly mound-shaped and only slightly skewed. The students are randomly assigned to freshman writing seminars in groups of 25.
What might the mean GPA of one of these seminar groups be? Describe the appropriate sampling distribution model, including shape, center, and spread, with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
What assumptions and conditions must be satisfied for the sampling distribution model to be appropriate? Select all that apply.
A. Individuals' GPAs are independent.
B. The distribution of the students' GPAs is Normal.
C. The distribution of GPAs is roughly unimodal and symmetric, so the sample is large enough.
D. The students represent less than 10% of all possible students.
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