10

Registrar's Office analysts assume that individual records are normally distributed with COMMON UNKNOWN population variance, (1) 2 = (2) 2 = 2 .

Comparison of students' performance was conducted. There were two equally sized groups of n1 = n2 = 10 students (graduate and undergraduate ones). The summaries are shown below.

Group	Size	Mean = Xbar	Sample Variance = S2	v = S2/n
Undergraduate	n1 = 9	(Xbar)1= 67.50	(S2)1 = 18	v1 = 2
Graduate	n2 = 9	(Xbar)2 = 75.45	(S2)2 = 63	v2 = 7

At the significance level, = 0.01, do they have sufficient evidence that average undergraduate students' performance is BELOW that for graduate ones?

Evaluate Test Statistic

Indicate Critical Value required

State Rejection Rule

Formulate Decision