Confidence Interval for Mean
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A sample of 10 high school students completed a course designed to increase SAT verbal scores. The following is the summary for this group's SAT verbal scores after completion of the course: Σx= 5846, Σx2 =3428148.
a. What is the mean and standard deviation for this groups' SAT verbal score?
b. What is the 95% confidence interval for the mean SAT verbal score for these students?
c. In the past, students have had an average SAT verbal score of 542. Can the school accurately conclude that this new course significantly improved the SAT verbal scores of these 10 students? Write both a statistical statement and an English statement.
d. If a student made a 500 on this SAT, what would be his/her percentile rank?
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The solution gives the details of construction of 95% confidence interval for mean.
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