Question

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.

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**

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:

1)Find the critical value zα/2 needed to construct
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