[All Steps] A math teacher claims that she has developed a review course that increases the scores of students on the math portion of the SAT exam. Based
Question: A math teacher claims that she has developed a review course that increases the scores of students on the math portion of the SAT exam. Based on reliable data, scores are normally distributed with $\mu=511$ and $\sigma=113$. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean SAT math score of the 1800 students is 516.
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![[Solution] To test \mathrmH_0: μ=100 versus \mathrmH_1:](/images/solutions/MC-solution-library-37818.jpg "[Solution] To test \mathrmH_0: μ=100 versus \mathrmH_1: μ")
[Solution] To test \mathrmH_0: μ=100 versus \mathrmH_1: μ
![[Steps Shown] To test H_D: μ=20 versus](/images/solutions/MC-solution-library-37819.jpg "[Steps Shown] To test H_D: μ=20 versus \mathrmH_1: μ<20,")
[Steps Shown] To test H_D: μ=20 versus \mathrmH_1: μ<20,
(Steps Shown) Determine the area under the standard normal curve
![[Steps Shown] Determine the area under the](/images/solutions/MC-solution-library-37821.jpg "[Steps Shown] Determine the area under the standard normal curve")
[Steps Shown] Determine the area under the standard normal curve
[Solved] Find the value of
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