points Next TWO problems share the same summaries shown below. Comparison of students' performance was conducted. There were two equally sized groups of n1 = n2 = 10 students (graduate and...

Extracted text: points Next TWO problems share the same summaries shown below. 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 = X Sampie Variane = S2 v = S2/n Undergraduate n1 = 9 (X)1 = 67.50 (S2)1 = 18 vi = 2 Graduate n2 = 9 (X)2 = 75.45 (S2)2 = 63 v2 = 7 11


Extracted text: Registrar's Office analysts assume that individual records are normally distributed with COMMON UNKNOWN population variance, (01)? = (02)² = o². At the significance level, a = 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 Solution 13