The following statistics are calculated by sampling from four normal populations
ID: 3376457 • Letter: T
Question
The following statistics are calculated by sampling from four normal populations whose variances are equal Use Table 2 and Table 5 X1 138, n1-6 X2 147, n26; X3 136, n3 6; X4 129, n4-6; MSE 52.4 a. Use Fisher's LSD test to determine which population means differ at ?-0.01. (Negative values should be indicated by a minus sign. Round intermediate values to 4 decimal places and final answers to 2 decimal places.) Population Mean Differences Confidence Interval Do the population means differ? (Click to select) v (Click to select) v (Click to select) (Click to select) v (Click to select) v (Click to select) v 1H2 1H4 M2 -H4 b. Use Tukey's HSD test to determine which population means differ at a 0.01. (If the exact value for nT - c is not found in the table, use the average of corresponding upper & lower studentized range values. Negative values should be indicated by a minus sign. Round intermediate values to 4 decimal places and final answers to 2 decimal places.) Population Mean Differences Confidence Interval Do the population means differ? (Click to select)v (Click to select) (Click to select) v (Click to select) v (Click to select)v (Click to select)Y ??-HaExplanation / Answer
Solution:
a. The confidence interval is calculated using the formula
(X-bar1 - X-bar2) ± t (a/2, n - k)*Sqrt(MSE (1/n1+ 1/n2)
Population mean
Confidence intervals
Do the population means differ?
µ1 - µ2
(-20.89, 2.89)
No
µ1 - µ3
(-9.89, 13.89)
No
µ1 - µ4
(-2.89, 20.89)
No
µ2 - µ3
(-0.89, 22.89)
No
µ2 - µ4
(6.11, 29.89)
Yes
µ3 - µ4
(-4.89, 18.89)
No
b.
The confidence interval is calculated using the formula
(X-bar1 - X-bar2) ± F (a/2, k, n - k)*Sqrt(MSE/2 (1/n1+ 1/n2)
Population mean
Confidence intervals
Do the population means differ?
µ1 - µ2
(-23.59, 5.59)
No
µ1 - µ3
(-12.59, 16.59)
No
µ1 - µ4
(-5.59, 23.59)
No
µ2 - µ3
(-3.59, 25.59)
No
µ2 - µ4
(3.41, 32.59)
Yes
µ3 - µ4
(-7.59, 21.59)
No
Population mean
Confidence intervals
Do the population means differ?
µ1 - µ2
(-20.89, 2.89)
No
µ1 - µ3
(-9.89, 13.89)
No
µ1 - µ4
(-2.89, 20.89)
No
µ2 - µ3
(-0.89, 22.89)
No
µ2 - µ4
(6.11, 29.89)
Yes
µ3 - µ4
(-4.89, 18.89)
No
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