A one-way analysis of variance experiment produced the following ANOVA table. (You may find it useful to reference the ttable and the g table.) SUMMARY Groups Column 1 Column 2 Column 3 Column 4 Count 4 4 4 4 Source of Variation Between Groups Within Groups Total Population Mean Differences H₁-H2 H1 H3 H1-H4 H2-H3 H2-H4 H3 H4 Average 368 364 364 357 [ [ [] [ [ [ SS 2,992.35 2,859.52 5,851.87 15 df Confidence Interval -40.03 -14.03 -27.03 11.97 -1.03 -27.03 -11.97] 14.03 1 1.03 1 40.03] 27.03 1 1.03] 3 12 picture Click here for the Excel Data File a. Use Fisher's LSD method to determine which means differ at the 1% level of significance. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) MS 997.45 238.29 F 4.19 p-value 0.0303

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b. Use Tukey's HSD method to determine which means differ at the 1% level of significance. (If the exact value for nt-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
H2H3
H2-H4
H3 H4
T
[1
[
Confidence Interval
-44.83
-18.83
-31.83
7.17
-5.83
-31.83
-7.17 1
18.83]
5.83]
44.83 1
31.83 1
5.83 1
Transcribed Image Text:b. Use Tukey's HSD method to determine which means differ at the 1% level of significance. (If the exact value for nt-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 H2H3 H2-H4 H3 H4 T [1 [ Confidence Interval -44.83 -18.83 -31.83 7.17 -5.83 -31.83 -7.17 1 18.83] 5.83] 44.83 1 31.83 1 5.83 1
A one-way analysis of variance experiment produced the following ANOVA table. (You may find it useful to reference the ttable and
the g table.)
SUMMARY
Groups
Column 1
Column 2
Column 3
Column 4
Count
4
4
4
Population Mean
Differences
H1-H2
H1 - H3
H₁-H4
H2H3
H₂H4
H3 H4
4
Source of Variation
Between Groups
Within Groups
Total
Average
368
364
364
357
[
[
[
[
[
[
Confidence Interval
-40.03
-14.03
-27.03
11.97
-1.03
-27.03
7
SS
2,992.35
2,859.52
5,851.87
picture Click here for the Excel Data File
a. Use Fisher's LSD method to determine which means differ at the 1% level of significance. (Negative values should be indicated by a
minus sign. Round your answers to 2 decimal places.)
7
7
-11.97 ]
14.03 ]
1.03]
df
3
12
15
40.03 ]
27.03]
1.03]
MS
997.45
238.29
F
4.19
p-value
0.0303
Transcribed Image Text:A one-way analysis of variance experiment produced the following ANOVA table. (You may find it useful to reference the ttable and the g table.) SUMMARY Groups Column 1 Column 2 Column 3 Column 4 Count 4 4 4 Population Mean Differences H1-H2 H1 - H3 H₁-H4 H2H3 H₂H4 H3 H4 4 Source of Variation Between Groups Within Groups Total Average 368 364 364 357 [ [ [ [ [ [ Confidence Interval -40.03 -14.03 -27.03 11.97 -1.03 -27.03 7 SS 2,992.35 2,859.52 5,851.87 picture Click here for the Excel Data File a. Use Fisher's LSD method to determine which means differ at the 1% level of significance. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) 7 7 -11.97 ] 14.03 ] 1.03] df 3 12 15 40.03 ] 27.03] 1.03] MS 997.45 238.29 F 4.19 p-value 0.0303
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