For Questions 17-20 A manufacturer of infant formula is running an experiment us

Q: For Questions 17-20 A manufacturer of infant formula is running an experiment us

Source DF SS MS F Group 2 0.02357 0.011785 4.6766 Error 117 0.29484 0.00252 Total 119 0.31841 17). d). F= 4.679 18). c). Ho: The mean IGA score is the same for all three formulas Ha: The mean IGA score is not same for all three formulas. 19). b). 0.01179 20). P value for test is P=0.011 b). is between 0.001 and 0.025 Source DF SS MS F Group 2 0.02357 0.011785 4.6766 Error 117 0.29484 0.00252 Total 119 0.31841

ID: 3156194 • Letter: F

Question

For Questions 17-20 A manufacturer of infant formula is running an experiment using the standard (control) 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. There are 40 infants per group, and the study is run for 12 weeks. At the end of the study the variable measured is total IGA (in mg per dn, with higher values being more desirable. We are going to run a one-way ANOVA on these data. A partial ANOVA table is given below. One-Way Analysis of Variance Analysis of Variance Source Group Error Total DF SS MS 0.00252 031841 17. Complete the ANOVA table above. What is the value of the F-statistic? a) 5.469 b) 0.002 c) 0.118 d) 4.679 18. The hypotheses tested by the one-way ANOVA F test are a) Ho: 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. b) Ho: 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. Ha: the mean IGA score is not the same for all three formulas. Ha: the mean IGA score is lower for at least one of the two treatment groups than the control c) Ho: the mean IGA score is the same for all three formulas. d) Ho: the mean IGA score is the same for all three formulas group.

Explanation / Answer

Source

Group

0.02357

0.011785

4.6766

Error

117

0.29484

0.00252

Total

119

0.31841

17). d). F= 4.679

18). c).

Ho: The mean IGA score is the same for all three formulas

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

19).

b). 0.01179

20).

P value for test is P=0.011

b). is between 0.001 and 0.025