An SAT prep course claims to increase average Verbal SAT scores. To test the claim, n candidates will be selected at random to take the prep course and take the test. It is known that, without the prep course, SAT-V scores are distributed N(4, o²) with mean µ = 565 and variance o? = 402. a) What are the hypotheses being tested? b) Interpret a Type II error in this context. We want the probability of making a Type II error, when there is a 15 point mean increase, to be 0.1 (or less), when the level is a = 0.05. How many candidates should we select? c)
An SAT prep course claims to increase average Verbal SAT scores. To test the claim, n candidates will be selected at random to take the prep course and take the test. It is known that, without the prep course, SAT-V scores are distributed N(4, o²) with mean µ = 565 and variance o? = 402. a) What are the hypotheses being tested? b) Interpret a Type II error in this context. We want the probability of making a Type II error, when there is a 15 point mean increase, to be 0.1 (or less), when the level is a = 0.05. How many candidates should we select? c)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![An SAT prep course claims to increase average Verbal SAT scores. To test the claim, n candidates
will be selected at random to take the prep course and take the test. It is known that, without the
prep course, SAT-V scores are distributed N(µ, o2) with mean u = 565 and variance o? = 40².
a)
What are the hypotheses being tested?
b)
Interpret a Type II error in this context.
We want the probability of making a Type II error, when there is a 15 point mean
increase, to be 0.1 (or less), when the level is a
c)
0.05. How many candidates should we
select?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6013ce1-7445-448c-b71c-0bfd97595fb5%2F2c3fabe1-600f-4e7a-814c-62bd1f95fe46%2F0mj26xp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An SAT prep course claims to increase average Verbal SAT scores. To test the claim, n candidates
will be selected at random to take the prep course and take the test. It is known that, without the
prep course, SAT-V scores are distributed N(µ, o2) with mean u = 565 and variance o? = 40².
a)
What are the hypotheses being tested?
b)
Interpret a Type II error in this context.
We want the probability of making a Type II error, when there is a 15 point mean
increase, to be 0.1 (or less), when the level is a
c)
0.05. How many candidates should we
select?
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