a. Use Fisher's LSD method to determine which population means differ at a = 0.05. (Negative values should be indicated by a minus sign. Round final answers to 2 decimal points.)

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The following statistics are calculated by sampling from four normal populations whose variances are equal: (You may find it useful to
reference the ttable and the g table.)
= 137, n₁ = 4; 2 = 148, n₂ = 4; 3 = 142, n3 = 4; 4 = 135, n4 = 4; MSE = 46.6
a. Use Fisher's LSD method to determine which population means differ at a = 0.05. (Negative values should be indicated by a minus
sign. Round final answers to 2 decimal points.)
Population Mean
Differences
H1-H2
H1 H3
H₁-H4
H2 H3
H2-H4
H3 H4
[
[
[1
Confidence Interval
1
]
Can we conclude that the
population means differ?
Transcribed Image Text:The following statistics are calculated by sampling from four normal populations whose variances are equal: (You may find it useful to reference the ttable and the g table.) = 137, n₁ = 4; 2 = 148, n₂ = 4; 3 = 142, n3 = 4; 4 = 135, n4 = 4; MSE = 46.6 a. Use Fisher's LSD method to determine which population means differ at a = 0.05. (Negative values should be indicated by a minus sign. Round final answers to 2 decimal points.) Population Mean Differences H1-H2 H1 H3 H₁-H4 H2 H3 H2-H4 H3 H4 [ [ [1 Confidence Interval 1 ] Can we conclude that the population means differ?
b. Use Tukey's HSD method to determine which population means differ at a = 0.05. (If the exact value for n-c is not found in the
table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
Population Mean
Differences
H₁-H₂
H1 H3
H₁-H4
H2-H3
H2H4
H3 H4
[
[
[
Confidence Interval
c. Do all population means differ?
[]
]
]
Can we conclude that the
population means differ?
O No, none of the population means differ.
O No, only some of the population means differ.
O Yes, all population means differ.
Transcribed Image Text:b. Use Tukey's HSD method to determine which population means differ at a = 0.05. (If the exact value for n-c is not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Population Mean Differences H₁-H₂ H1 H3 H₁-H4 H2-H3 H2H4 H3 H4 [ [ [ Confidence Interval c. Do all population means differ? [] ] ] Can we conclude that the population means differ? O No, none of the population means differ. O No, only some of the population means differ. O Yes, all population means differ.
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