Question

Astatistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information Today Five Years Ago Average Score 88 112.5 36 82 What is the conclusion that can be reached about the difference in the average final examination two classes? (Use a .05 level of significance.) It is impossible to make a decision on the basis of the information given. There is a difference, but it is not significant There is no statistically significant difference in the average final examination scores between the two classes. 1 pts There is a statistically significant difference in the average final examination scores between the two classes.

Answer 1

Ane: Ho: M, = M2 VS Ha 24, 7 Ma x = 82, X2 = 88, s = 12.5, 5,²54, n = u5, n2 = 36 We use a sample t test Since is Unknown Test Statistic (2) = a x1 - 22 Spr ( 1 + 1/2) - 44 (112.5)+ 35(54) 45+36-2 (1,-1) 5) + (12-1) sa tha-2 6840 - 86.5823 Se - 79 -2.88 82-88 86.5823675 +30) P-value = ax P (22-2.88) = 2x0.00199 = 0.00398 Sonce p value <a (0.05), we refect to. There as statistically significant difference in the average final examination scores between the two classes.