1) Lethality of Red Dye 40 S.W. Laagakos and F. Mosteller of Harvard University

Question

1)

Lethality of Red Dye 40

S.W. Laagakos and F. Mosteller of Harvard University fed mice different doses of red dye number 40 and recorded the time of death in weeks. Results for female mice, dosage and time of death are shown in the data. Reference: Journal Natl. Cancer Inst., Vol. 66, p 197-212

Is there evidence to suggest that any of the regimens produce different lethality profiles than the others?

2)

Is there evidence to suggest that any of the sites have artifacts buried at different depths than the others?

Perform an ANOVA procedure using Excel on the data and answer the question in the provided box.

Time to Death in Female Mice Fed Different Amounts of Red Dye 40 Control Low Dose Medium Dose High Dose 70 49 30 34 77 60 37 36 83 63 56 48 87 67 65 48 92 70 76 65 93 74 83 91 100 77 87 98 102 80 90 102 102 89 94 103 97 96

Explanation / Answer

1)

as P vlaue is less then 0.05 level we can conclude  that there is evidence to suggest that any of the regimens produce different lethality profiles than the others

2)

as P value is signiifcantly low there is   evidence to suggest that any of the sites have artifacts buried at different depths than the others

Groups Count Sum Average Variance Control 11 1005 91.36364 121.2545 Low Dose 9 629 69.88889 140.6111 Medium Dose 10 715 71.5 565.1667 High Dose 8 522 65.25 787.6429 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 4051.96 3 1350.653 3.549561 0.024472 2.882604 Within Groups 12937.43 34 380.5128 Total 16989.39 37

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