High School

SAT Scores:

A college admissions officer sampled 121 entering freshmen and found that 41 of them scored less than 580 on the math SAT.

(a) Find a point estimate for the proportion of all entering freshmen at this college who scored less than 580 on the math SAT. Round the answer to at least three decimal places.

Answer :

Final answer:

The point estimate for the proportion of all entering freshmen who scored less than 580 on the math SAT, given the data in the question, is approximately 0.339 or 33.9%.

Explanation:

The subject matter of this question is probability and statistics, specifically pertaining to SAT scores. Given the data in the question, we are asked to provide a point estimate for the proportion of all entering freshmen at this college who scored less than 580 on the math SAT.

A point estimate is a type of estimation that uses single data point to infer population parameters. We can calculate this point estimate using the formula:

Point Estimate = X / n

Where X represents the number of successes (i.e., students who scored less than 580), and n represents the total sample size.

In this case, X = 41 (the number of students who scored less than 580) and n = 121 (the total number of students).

By substituting these values into our formula, the calculation is as follows:

Point Estimate = 41 / 121 ≈ 0.339

Thus, our point estimate for the proportion of entering freshmen who scored less than 580 on the math SAT is approximately 0.339 or 33.9%.

Learn more about Point Estimate here:

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