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In: Statistics and Probability
Estimating Mean SAT Math Score The SAT is the most widely used college admission exam. (Most...
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 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 627 exams in his state. The sample mean for the test is 509.
Find the 90% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical z-value to use, zc, is: 1.645.)
( , )
Your answer should be rounded to 3 decimal places.
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orchestra answered 2 years agoRelated Solutions
The SAT is the most widely used college admission exam. (Most community colleges do not require...
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...
The SAT is the most widely used college admission exam. (Most community colleges do not require...
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...
The SAT is the most widely used college admission exam. (Most community colleges do not require...
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...
The SAT is the most widely used college admission exam. (Most community colleges do not require...
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...
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Math SAT Scores (Raw Data, Software Required): Suppose the national mean SAT score in mathematics is...
Math SAT Scores (Raw Data, Software
Required):
Suppose the national mean SAT score in mathematics is 520. The
scores from a random sample of 40 graduates from Stevens High are
given in the table below. Use this data to test the claim that the
mean SAT score for all Stevens High graduates is the same as the
national average. Test this claim at the 0.10 significance
level.
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Problem 1: An investigator in a university wants to know the mean math SAT score among...
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