A study is developed to examine the effects of vitamin and milk supplements on i

Question

A study is developed to examine the effects of vitamin and milk supplements on infant weight gain. Three diet plans are considered in this experiment. Diet A: involves a regular diet plus the vitamin supplement Diet B: involves a regular diet plus a special milk formula Diet C: this is our control diet without any vitamin supplement or special milk formula Fifteen infants are selected for the experiment, and are randomized to one of the three diet groups. The following table displays weight gains (measured in pounds) after 30 days on the assigned diet program. Use a significance level of alpha = 0.05 to compare the means of the three groups. Then present your results in an ANOVA table, showing Source, degrees of freedom, Sums of Squares, Mean Squares, F', p-value. What can you conclude about the effects of vitamin and milk supplements on infant weight gain?

Explanation / Answer

H0: All the treatmet means are equal

H1: Atleast one treatment mean is not equal

alpha:5%

Test statistics:

From Excel

From Excel

F=2.515

Conclusion:

P=0.1222 and alpha=0.05

P > alpha, we accept the null hypothesis.

Hence Atleast one treatment mean is not same

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 5 10.4 2.08 0.187 B 5 8.4 1.68 0.142 C 5 7.8 1.56 0.113 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 0.741333 2 0.370667 2.515837 0.122333 3.885294 Within Groups 1.768 12 0.147333 Total 2.509333 14

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