Exam Scores at Private and Public Schools A researcher claim

Exam Scores at Private and Public Schools A researcher claims that students in a private school have exam scores that are at most 8 points higher than those of students in public schools. Random samples of 60 students from each type of school are selected and given an exam. The results are shown. At a = 0.05, test the claim. Private school Public school

Solution

Sample N Mean StDev SE Mean
1 60 110.0 15.0 1.9
2 60 104.0 15.0 1.9

Difference = mu (1) - mu (2)
Estimate for difference: 6.00
95% upper bound for difference: 10.54
T-Test of difference = 8 (vs <): T-Value = -0.73 P-Value = 0.233 DF = 118
Both use Pooled StDev = 15.0000

since p-value is >0.05 so we accept H0