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SAT Scores:

A college admissions officer sampled 114 entering freshmen and found that 39 of them scored more than 550 on the math SAT.

(a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 550 on the math SAT. Round the answer to at least three decimal places.

The point estimate for the proportion of all entering freshmen at this college who scored more than 550 on the math SAT is:

Answer :

To find a point estimate for the proportion of all entering freshmen at this college who scored more than 550 on the math SAT, we can use the information given from the sample.

Here's how to calculate it step-by-step:


  1. Identify Sample Proportion ([tex]\hat{p}[/tex]):

    The sample proportion ([tex]\hat{p}[/tex]) is calculated by dividing the number of students who scored more than 550 by the total number of students in the sample.

    [tex]\hat{p} = \frac{39}{114}[/tex]


  2. Calculate the Value:

    [tex]\hat{p} = \frac{39}{114} = 0.342[/tex]

    So, the point estimate for the proportion of all entering freshmen at this college who scored more than 550 on the math SAT is approximately 0.342.



This means that based on the sample, it is estimated that about 34.2% of all entering freshmen at this college scored more than 550 on the math SAT. This type of statistical estimate is useful for understanding general performance trends in a larger population from a smaller sample.

Thanks for taking the time to read SAT Scores A college admissions officer sampled 114 entering freshmen and found that 39 of them scored more than 550 on the math SAT a. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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