An Employee of the College Board Analyzed the Mathematics Section

question 45

Multiple Choice

An employee of the College Board analyzed the mathematics section of the SAT for 97 students and finds = 30.2 and s = 13.0.She reports that a 97% confidence interval for the mean number of correct answers is (27.336,33.064) .Does the interval (27.336,33.064) cover the true mean?
Which of the following alternatives is the best answer for the above question?

• A)Yes,(27.336,33.064)covers the true mean.
• B)No,(27.336,33.064)does not cover the true mean.
• C)We will never know whether (27.336,33.064)covers the true mean.
• D)The true mean will never be in (27.336,33.064).

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