Estimating Mean SAT Math Score The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of u depends on the state and the year. But let's assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 94. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researcher chooses a random sample of 681 exams in his state. The sample mean for the test is 486. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. Use the unrounded values in Excel to find the answers to #2, #3 and #4. 1. The z-value is 2. The standard error has a value of 3. The margin of error has a value of 4. Find the 99% confidence interval to estimate the mean SAT math score in this state for this ye

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**Estimating Mean SAT Math Score**

The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of μ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 94. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 681 exams in his state. The sample mean for the test is 486.

Find the 99% confidence interval to estimate the mean SAT math score in this state for this year.

Use the unrounded values in Excel to find the answers to #2, #3, and #4.

1. The z-value is ____.
2. The standard error has a value of ____.
3. The margin of error has a value of ____.
4. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (______, ______).
Transcribed Image Text:**Estimating Mean SAT Math Score** The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of μ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 94. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 681 exams in his state. The sample mean for the test is 486. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. Use the unrounded values in Excel to find the answers to #2, #3, and #4. 1. The z-value is ____. 2. The standard error has a value of ____. 3. The margin of error has a value of ____. 4. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (______, ______).
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