ANOVA Table of Effect of Cod Liver Oil Intake During Childhood on BMD SS Between Within 0.036610 df 3 MS 0.012203 10.608432 2,850 0.003722 Test if the mean BMD is different among the four groups at the 5% level of significance. State the null and alternative hypotheses. O Ho: H₁ H₂ H3 = 4 H: One or more pairs of population means differ. O Ho: One or more pairs of population means differ. H₂: H₁ H₂ = μ3μ4 Ho: My

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A study was performed to relate aspects of childhood diet to measurements of bone density in middle age (50- to 70-year-old) women. The data in the table below were reported from a Norwegian study relating cod liver oil supplementation
bone mineral density (BMD) in the distal forearm.
Mean BMD by Cod Liver Oll Intake During Childhood
Cod Liver Oil Intake During Childhood Mean BMD (g/cm²)
Never
Irregularly
Fall and Winter
Whole Year
Overall Mean
(a) The table below is the ANOVA table.
Within
ANOVA Table of Effect of Cod Liver Oil
Intake During Childhood on BMD
SS
Between 0.036610
df
MS
0.436
0.425
0.429
0.421
0.428
sd
n
0.057 267
0.060
0.061 1,655
695
0.068 237
3 0.012203
10.608432 2,850 0.003722
Test if the mean BMD is different among the four groups at the 5% level of significance.
2,854
Transcribed Image Text:A study was performed to relate aspects of childhood diet to measurements of bone density in middle age (50- to 70-year-old) women. The data in the table below were reported from a Norwegian study relating cod liver oil supplementation bone mineral density (BMD) in the distal forearm. Mean BMD by Cod Liver Oll Intake During Childhood Cod Liver Oil Intake During Childhood Mean BMD (g/cm²) Never Irregularly Fall and Winter Whole Year Overall Mean (a) The table below is the ANOVA table. Within ANOVA Table of Effect of Cod Liver Oil Intake During Childhood on BMD SS Between 0.036610 df MS 0.436 0.425 0.429 0.421 0.428 sd n 0.057 267 0.060 0.061 1,655 695 0.068 237 3 0.012203 10.608432 2,850 0.003722 Test if the mean BMD is different among the four groups at the 5% level of significance. 2,854
ANOVA Table of Effect of Cod Liver Oil
Intake During Childhood on BMD
SS
Between
Within
0.036610
10.608432
dr
Ho: My <H₂ <H3 <H4
на: 1 =М2 =3 =4
3
OH₁ H₁ H₂ H3 H4
H₂: Hy <H₂ <H3 <H4
2,850
MS
0.012203
Test if the mean BMD is different among the four groups at the 5% level of significance.
State the null and alternative hypotheses.
o Hoi thi = Kh2 = kg = MA
H: One or more pairs of population means differ.
0.003722
OH: One or more pairs of population means differ.
H₂H₁ H₂ = 3 = 4
O Ho: M₁ = ₂ = H3 = μ¹4
H: None of the population means are the same.
Find the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the mean BMD is significantly different among the four groups.
O Fail to reject Ho. There is sufficient evidence to conclude that the mean BMD is significantly different among the four groups.
O Fail to reject Ho. There is insufficient evidence to conclude that the mean BMD is significantly different among the four groups.
O Reject Ho. There is insufficient evidence to conclude that the mean BMD is significantly different among the four groups.
Transcribed Image Text:ANOVA Table of Effect of Cod Liver Oil Intake During Childhood on BMD SS Between Within 0.036610 10.608432 dr Ho: My <H₂ <H3 <H4 на: 1 =М2 =3 =4 3 OH₁ H₁ H₂ H3 H4 H₂: Hy <H₂ <H3 <H4 2,850 MS 0.012203 Test if the mean BMD is different among the four groups at the 5% level of significance. State the null and alternative hypotheses. o Hoi thi = Kh2 = kg = MA H: One or more pairs of population means differ. 0.003722 OH: One or more pairs of population means differ. H₂H₁ H₂ = 3 = 4 O Ho: M₁ = ₂ = H3 = μ¹4 H: None of the population means are the same. Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean BMD is significantly different among the four groups. O Fail to reject Ho. There is sufficient evidence to conclude that the mean BMD is significantly different among the four groups. O Fail to reject Ho. There is insufficient evidence to conclude that the mean BMD is significantly different among the four groups. O Reject Ho. There is insufficient evidence to conclude that the mean BMD is significantly different among the four groups.
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