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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 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 100. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researcher chooses a random sample of 692 exams in his state. The sample mean for the test is 484. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (Note: The critical z-value to use, ze, is: 2.576.) Your answer should be rounded to 3 decimal places.

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 100. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researcher chooses a random sample of 692 exams in his state. The sample mean for the test is 484. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (Note: The critical z-value to use, ze, is: 2.576.) Your answer should be rounded to 3 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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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 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 100. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researecher chooses a random sample of 692 exams in his state. The sample mean for the test is 484. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (Note: The critical z-value to use, ze, is: 2.576.) Your answer should be rounded to 3 decimal places.
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 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 100. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researecher chooses a random sample of 692 exams in his state. The sample mean for the test is 484. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (Note: The critical z-value to use, ze, is: 2.576.) Your answer should be rounded to 3 decimal places.
Is smoking during pregnancy associated with premature births? To investiga this question, researchers selected a random sample of 138 pregnant womer who wege smokers. The average pregnancy length for this sample of smoke Find the 90% confidence interval to estimate the length of pregnancy for women who smoke. (Note: The critical z-value to use, z, is: 1.645) Your answer should be rounded to 3 decimal places.
Transcribed Image Text:Is smoking during pregnancy associated with premature births? To investiga this question, researchers selected a random sample of 138 pregnant womer who wege smokers. The average pregnancy length for this sample of smoke Find the 90% confidence interval to estimate the length of pregnancy for women who smoke. (Note: The critical z-value to use, z, is: 1.645) Your answer should be rounded to 3 decimal places.
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