Substances to be tested for a cancer-causing potential are often painted on the
ID: 3152342 • Letter: S
Question
Substances to be tested for a cancer-causing potential are often painted on the skin of mice. The question arose whether mice might get an additional dose of the substance by licking or biting their cagemates. To answer the question, the compound benzoapyrene was applied to the backs of 10 mice: five were individually housed and 5 were group-housed in a single cage. After 48 hours, the concentration of the compound in the stomach tissue of each mouse was determined. The results (nmol/gm) were as follows. Perform an appropriate test of the hypothesis that there is a difference in dosage between single-housed and group-housed mice assuming results of normality test (PExplanation / Answer
H0: There is no diffeence between two means
H1:There is a difference betwween two means
Alpha:5%
Test statistic:
From Excel
F cal=15.88
Conclusion:
P value=0.004
p<alpha we reject the null hypothesis., The claim is significant
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Single 5 13.9 2.78 0.227 Group 5 20.1 4.02 0.257 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 3.844 1 3.844 15.8843 0.004031 5.317655 Within Groups 1.936 8 0.242 Total 5.78 9