Comparison of students' performance was conducted. There were two equally sized groups ofn₁=n₂= 10 students (graduate and undergraduate ones). The summaries are shown below.

Group	Size	Mean = Xbar	Variance = S2	v=S2/n
Undergraduate	n1=10	(Xbar)1=67.9	(S2)1=141	v1=14.1
Graduate	n2= 10	(Xbar)2=78.5	(S2)2=19	v2=1.9

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