Part of an ANOVA table involving 8 groups for a study is shown below. (a) Complete all the missing values in the table and fill in the blanks. Source of Variation Sum of Squares Between Treatments Within Treatments (Error) Total 105 256 Hoi H₁ H₂ H3 H4 Hs * HG * Hy * Hg * Hg: H₂H₂ H3 H4 H5 H6 H7 H8 Degrees of Freedom Ho: H₁ H₂ H3 H4 H5 H6 H7 H8 H₂: H₂H₂ H3 H4 Hs Hg Hy * Hg (b) Use a 0.05 to determine if there is any significant difference among the means of the eight groups. State the null and alternative hypotheses. Ho: H₂H₂ Hz* H₂ Hs * Hg * Hy * Hg. H: At least two of the population group means are different. OH: At least two of the population group means are different. H₂H₂ H3 H4 H5 H6 H7 H8 Ho H₁ H₂ H3 H4 H5 H6 Hy = Mg H: At least two of the population group means are different. Find the value of the test statistic. 71 Find the p-value. (Round your answer to three decimal places.) p-value= Mean Square State your conclusion. Reject Ho. There is sufficient evidence to conclude that the population mean responses for the eight groups are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the population mean responses for the eight groups are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the population mean responses for the eight groups are not all equal
Part of an ANOVA table involving 8 groups for a study is shown below. (a) Complete all the missing values in the table and fill in the blanks. Source of Variation Sum of Squares Between Treatments Within Treatments (Error) Total 105 256 Hoi H₁ H₂ H3 H4 Hs * HG * Hy * Hg * Hg: H₂H₂ H3 H4 H5 H6 H7 H8 Degrees of Freedom Ho: H₁ H₂ H3 H4 H5 H6 H7 H8 H₂: H₂H₂ H3 H4 Hs Hg Hy * Hg (b) Use a 0.05 to determine if there is any significant difference among the means of the eight groups. State the null and alternative hypotheses. Ho: H₂H₂ Hz* H₂ Hs * Hg * Hy * Hg. H: At least two of the population group means are different. OH: At least two of the population group means are different. H₂H₂ H3 H4 H5 H6 H7 H8 Ho H₁ H₂ H3 H4 H5 H6 Hy = Mg H: At least two of the population group means are different. Find the value of the test statistic. 71 Find the p-value. (Round your answer to three decimal places.) p-value= Mean Square State your conclusion. Reject Ho. There is sufficient evidence to conclude that the population mean responses for the eight groups are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the population mean responses for the eight groups are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the population mean responses for the eight groups are not all equal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Part of an ANOVA table involving 8 groups for a study is shown below.
(a) Complete all the missing values in the table and fill in the blanks.
Source of Variation
Sum of Squares
Between Treatments
Within Treatments (Error)
Total
105
256
Hoi H₂ # H₂ + H₂ # H₁ * Hs * H6 # Hy * Hg
Hg: H₂ = H₂ = H3 = H4 H5 H6 = H7 H8
Ho: H₁ H₂ H3 = H4 = H5 = H6 = Hy = Hg
H₂: H₂H₂ H3 H4 * Hs # H6 # Hy # Hg
Degrees of Freedom
(b) Use a 0.05 to determine if there is any significant difference among the means of the eight groups.
State the null and alternative hypotheses.
Ho: H₁ H₂ H3 + H₂ * H5 # H6 + H₂ * H8
H: At least two of the population group means are different.
Find the value of the test statistic.
O Ho: At least two of the population group means are different.
H₁ H₂ H3 H4 = H₂H6 = Hy = 8
=
Ho H₁ H₂ H3 = H₂ = H5 = H6 = Hy = Hg
H: At least two of the population group means are different.
71
Find the p-value. (Round your answer to three decimal places.)
p-value=
Mean Square
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the population mean responses for the eight groups are not all equal.
O Do not reject Ho. There is sufficient evidence to conclude that the population mean responses for the eight groups are not all equal.
Do not reject Ho. There is not sufficient evidence to conclude that the population mean responses for the eight groups are not all equal...
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