A one-way analysis of variance experiment produced the following ANOVA table. Assume normality in the underlying populations (You may find it useful to reference the atable) SUMMARY Groups Column 1 Column 2 Column 3 Total Count 6 Source of variation 6 Average 0.72 Population Mean Differences 815 1.74 2.51 55 8.50 of 2 37 FIS 4.25 0.26 16.35 D a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ pivalie 0.0002 Reject No we can condude that some population means diffe OReject to we cannot conclude that some population means offer Do not reject Ho we can conclude that some population means differ Do not reject Ho we cannot conclude that some population means differ Confidence Interval Calculate 99% confidence interval estimates of ₁-2, ₁-s, and ₂-, with Tukey's HSD approach. (If the exact value m-c is not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answen decimal places.) =. Given your response to part b, which means significantly differ? Population Mean Differences Can we conclude that the population means differ? P1-H2 P1-43 P2-43
A one-way analysis of variance experiment produced the following ANOVA table. Assume normality in the underlying populations (You may find it useful to reference the atable) SUMMARY Groups Column 1 Column 2 Column 3 Total Count 6 Source of variation 6 Average 0.72 Population Mean Differences 815 1.74 2.51 55 8.50 of 2 37 FIS 4.25 0.26 16.35 D a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ pivalie 0.0002 Reject No we can condude that some population means diffe OReject to we cannot conclude that some population means offer Do not reject Ho we can conclude that some population means differ Do not reject Ho we cannot conclude that some population means differ Confidence Interval Calculate 99% confidence interval estimates of ₁-2, ₁-s, and ₂-, with Tukey's HSD approach. (If the exact value m-c is not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answen decimal places.) =. Given your response to part b, which means significantly differ? Population Mean Differences Can we conclude that the population means differ? P1-H2 P1-43 P2-43
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:A one-way analysis of variance experiment produced the following ANOVA table. Assume normality in the underlying populations.
(You may find it useful to reference the atable).
SUMMARY
Groups
Column 1
Column 2
Column 3
Source of variation
Between Groups
within Groups
Total
Count
6
6
6
Average
0.72
1.74
2.51
Population Mean
Differences
55
8.50
42-43
12.41
of
15
37
HS
4.25
0.26
Picture Click here for the Excel Data Eil
a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ
F
16.35
D
Reject Howe can conclude that some population means diffec
OReject Ho we cannot conclude that some population means offer
Do not reject Ho we can conclude that some population means differ
Do not reject Ho we cannot conclude that some population means differ
Confidence Interval
p-value
b. Calculate 99% confidence interval estimates of ₁-₂, ₁-3, and H₂-Hy with Tukey's HSD approach. (If the exact value
for m-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.)
c. Given your response to part b, which means significantly differ?
Population Mean Can we conclude that the
Differences population means differ?
P1-P2
P1-P3
P2-43
N
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