Question

The following paired sample observations are scores for six students chosen at random from Lubbock High School.  The "before" scores represent their knowledge of English Literature before they studied the subject for a 2-week period.  The "after" scores are their scores after studying English Literature for 2 weeks:
			Student	1	2	3	4	5	6
			before	65	72	55	66	82	90
			after	80	78	57	76	91	85
At the .05 significance level, can we conclude that there has been an increase in knowledge (as indicated by this exam) as a result of the two-week period of study?
Show all 5 steps and explain your conclusion.

Answer 1

here let d =after -before

Decision:as test statistic falls in rejection region , we reject null hypothesis

Conclusion:We have sufficient evidence at 0.05 level to conclude that there has been an increase in knowledge (as indicated by this exam) as a result of the two-week period of study