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A college admissions officer takes a simple random sample of 80 entering freshmen and computes their...

A college admissions officer takes a simple random sample of 80 entering freshmen and computes their mean mathematics SAT score to be 469. Assume the population standard deviation is 95. Construct a 95% confidence interval for the mean mathematics SAT score for the entering freshmen class.

x ̅=

σ=

n=

Z=

The confidence interval for the population mean is

Lower limit:

Upper limit:

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Answer #1

Mean = 469

Sample size (n) = 80

Standard deviation () = 95

Confidence interval(in %) = 95

z @ 95.0% = 1.96

Since we know that

Required confidence interval

Required confidence interval = (469.0-20.8178, 469.0+20.8178)

Required confidence interval = (448.1822, 489.8178)

Lower limit: 489.8178

Upper limit: 448.1822

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