Statistics professors assume that individual records are normally distributed with ENTIRELY UN- KNOWN population variances, (01)² and (02)². At the significance level, a = evidence that average undergraduate students' performance is BELOW that for graduate ones? 0.01, do they have sufficient • Evaluate Test Statistic • Indicate Critical Value required • State Rejection Rule • Formulate Decision Solution

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Statistics professors assume that individual records are normally distributed with ENTIRELY UN-
KNOWN population variances, (01)² and (o2)². 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
12
Transcribed Image Text:Statistics professors assume that individual records are normally distributed with ENTIRELY UN- KNOWN population variances, (01)² and (o2)². 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 12
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 Variance = S2
v = S²/n
Undergraduate
n1 = 9
(X)ı = 67.50
(S2)1 = 18
vị = 2
Graduate
n2 = 9 (X)2 = 75.45
(S2)2 = 63
v2 = 7
11
Transcribed Image Text: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 Variance = S2 v = S²/n Undergraduate n1 = 9 (X)ı = 67.50 (S2)1 = 18 vị = 2 Graduate n2 = 9 (X)2 = 75.45 (S2)2 = 63 v2 = 7 11
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