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a college admissions officer takes a simple random sample of 120 entering freshman and computes their...

a college admissions officer takes a simple random sample of 120 entering freshman and computes their mean mathematics SAT score to be 448. Assume the population standard deviation is 92.
Construct a 98% confidence interval for the mean mathematics SAT score for the entering freshmen class.
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Answer #1

Solution: We are given:

The 98% confidence interval for the mean mathematics SAT score for the entering freshmen class is:

Where:

is the critical value at the 0.02 significance level.

Therefore we have:

Therefore, the 98% confidence interval for the mean mathematics SAT score for the entering freshmen class is

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