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The SAT is the most widely used college admission exam. (Most community colleges do not require...

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Basic Math

The SAT is the most widely used college admission exam. (Mostcommunity colleges do not require students to take this exam.) Themean SAT math score varies by state and by year, so the value of µdepends on the state and the year. But let’s assume that the shapeand spread of the distribution of individual SAT math scores ineach state is the same each year. More specifically, assume thatindividual SAT math scores consistently have a normal distributionwith a standard deviation of 100. An educational researcher wantsto estimate the mean SAT math score (μ) for his state thisyear.

The researcher chooses a random sample of 698 exams in hisstate. The sample mean for the test is 489. Find the 99% confidenceinterval to estimate the mean SAT math score in this state for thisyear. (Note: The critical z -value to use is: 2.576.) Your answershould be rounded to 3 decimal places.

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Solution Given that 489 100n 698At 99 confidence    See Answer
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