Question

A​ college's data about the incoming freshmen indicates that the mean of their high school GPAs...

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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