A high school is trying out a new method for teaching composition. The school wants to know whether the new method is more effective than what was done previously. A random sample of $$\(n\)$$ students is taken and their average essay scores are calculated and compared against essay grades from the previous five years. The mean essay grades from the previous years is 72.3 with a standard deviation of 7.92 . Suppose that the mean score for essays from this year's sample of $$\(n\)$$ students is 77. In which of the following situations would the power for this test be the highest?
A.
The school uses a significance level of 0.01 and \(n=200\) students.
B.
The school uses a significance level of 0.01 and \(n=500\) students.
C.
The school uses a significance level of 0.05 and \(n=200\) students.
D.
The school uses a significance level of 0.05 and \(n=500\) students.
E.
The school uses a significance level of 0.10 and \(n=500\) students.
Exam No：AP Statistics Problem Set 10 Year：2024 Question No：72
Answer:
E
Knowledge points:
6.5 Interpreting p-Values
6.7 Potential Errors When Performing Tests
Solution:
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