Question

A manufacturer is running an experiment using the standard (control) infant formula, and two new formulas,...

A manufacturer is running an experiment using the standard (control) infant formula, and two new formulas, A and B. The goal is to boost the immune system in infants. 120 infants in the study are randomly assigned to each of three groups: Group A, Group B, and a Control Group. The study is run for 12 weeks. At the end of the study the variable measured is Total IGA (in mg per dl) score. A one-way ANOVA on these data is employed. The hypotheses tested by the one-way ANOVA F test are:

Group of answer choices

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is not the same for all three formulas.

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is higher for at least one of the two treatment groups than the control group

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is higher for both treatment groups A and B than the control group.

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Answer #1

Solution:

Given: A manufacturer is running an experiment using the standard (control) infant formula, and two new formulas, A and B.

The variable measured is Total IGA (in mg per dl) score.

We have to state the hypotheses for one-way ANOVA F test to test if the mean IGA score is the same for all three formulas.

Under null hypothesis H0, we state all groups means are equal and in alternative hypothesis we state not all group means same.

Thus correct answer is:

H0: the mean IGA score is the same for all three formulas.

Ha: the mean IGA score is not the same for all three formulas.

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