Let be the random variable denoting the SAT scores of College student.
Let be the random variable denoting the SAT scores of High School student.
The 95% Confidence Interval is given by:
Now,
Now,
Putting in the given values, we get,
Hence, the 95% Confidence Interval is (-5.30,81.30) .
Now, since the Confidence Interval contains 0, there is no evidence that one population has a larger mean than the other.
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