A university professor selects 16 students randomly and records their averages on the midterm and final exams, along with the differences in these averages. She tests if student averages differ on the two exams with an ?=5%.

Stud

Mid

Fin

Diff=Fin - Mid

	Mean	N	Std. Deviation	Std. Error Mean
Pair 1	FINAL	75.88	16	10.651	2.663
MIDTERM	75.69	16	11.265	2.816

SPSS output is provided

Paired Samples Test Paired Differences 95% Confidence Interval of the Std. Error Difference Mean Std. Deviation Mean Lower Upper df Sig. (2-tailed) Pair 1 FINAL - MIDTERM 188 3.103 776 -1.466 1.841 .242 15 812