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(11 points) An experiment was conducted on the age at which first steps occur fo

ID: 2946364 • Letter: #

Question

(11 points) An experiment was conducted on the age at which first steps occur for babies assigned to four different treatments. The data is given below. Fill in the ANOVA table and conduct a hypothesis to determine if the four methods result in a difference of mean ages for first steps. Special Exercise Exercise Control Weekly Report Final Report 9.5 9 9 10 10.5 13 11.75 12 11.75 12.5 12.75 12.75 9.25 11.75 12.25 11.5 10 14.5 13 df MS Between/Treatment Total Select the appropriate bounds on the P-value A. P-value > .1 B. .05

Explanation / Answer

By using MINITAB,

One-way ANOVA: response versus factor

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level ? = 0.05

Factor Information

Factor Levels Values
factor 4 1, 2, 3, 4


Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
factor 3 20.01 6.669 3.70 0.029
Error 20 36.09 1.805
Total 23 56.10

Pvalue =0.029

B] 0.025 < Pvalue = 0.029 < 0.05

c] Pvalue =0.029 < alpha = 0.05

Reject H0, we have significant evidence of a difference in population mean dirst step age for the various treatments.