Of all freshman at a large college, 16% made the dean’s list in the current year....

Of all freshman at a large college, 16% made the dean’s list in the current year. As part of a class project, students randomly sample 40 students and check if those students made the list. They repeat this 1000 times and build a distribution of sample proportions.

1. What is this distribution called?

2. Would you expect the shape of this distribution to be symmetric, right skewed, or left skewed? Explain your reasoning.

3 Find/calculate a measure of the variability of this distribution. 4. What is the formal name of the value that you computed in (c)?

5. Use the information above to construct a 95% confidence interval and interpret it using a full sentence.

6. What is the margin of error in your confidence interval? (Be sure to show a calculation to support your response.)

7. Suppose the students decide to sample again, this time collecting 90 students per sample. They build a new distribution of sample proportions. How will the variability of the new distribution compare to the variability of the distribution when each sample contained 40 observations.

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orchestra answered 2 years ago

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Of all freshman at a large college, 16% made the dean’s list in the current year....

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