Problem 3: The Department of Education just adopted a new standard. Some educators believe that the new standard will help improve student achievement, yet others believe that it will put more students at risk. For many decades, the mean SAT score is 1100. However, educators are not sure whether the new standard will make it better or worse. During the first two years of the implementation of the new standard, researchers randomly selected 43 students and found that the mean SAT score is 1150 with a standard deviation of 110. a) Do we have some evidence to suggest that the new standard changed student achievement? Explain. b) Perform a hypothesis test at a significance level, alpha = 0.05. (Be careful with the alternative hypothesis) %3D

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Problem 3: The Department of Education just adopted a new standard. Some educators
believe that the new standard will help improve student achievement, yet others believe
that it will put more students at risk. For many decades, the mean SAT score is 1100.
However, educators are not sure whether the new standard will make it better or worse.
During the first two years of the implementation of the new standard, researchers randomly
selected 43 students and found that the mean SAT score is 1150 with a standard deviation of
110.
a) Do we have some evidence to suggest that the new standard changed student
achievement? Explain.
b) Perform a hypothesis test at a significance level, alpha = 0.05. (Be careful with the
alternative hypothesis)
Transcribed Image Text:Problem 3: The Department of Education just adopted a new standard. Some educators believe that the new standard will help improve student achievement, yet others believe that it will put more students at risk. For many decades, the mean SAT score is 1100. However, educators are not sure whether the new standard will make it better or worse. During the first two years of the implementation of the new standard, researchers randomly selected 43 students and found that the mean SAT score is 1150 with a standard deviation of 110. a) Do we have some evidence to suggest that the new standard changed student achievement? Explain. b) Perform a hypothesis test at a significance level, alpha = 0.05. (Be careful with the alternative hypothesis)
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