25 10. Review each of the following scenarios and indicate which statistical analysis would be most...

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25 10. Review each of the following scenarios and indicate which statistical analysis would be most...

25 10. Review each of the following scenarios and indicate which statistical analysis would be most appropriate to test that scenario. Explain your choice. Choose from the following statistics (Each Only Used Once): Dependent-Samples t Test Independent-Samples Test Dependent non-parametric Independent non-parametric a.Children (mean age 6 years) who ate breakfast at school participated in an experiment to determine the effect of sugar on activity. On some days a particular child received sugar with breakfast and on other days the child did not. This was true for all the children in the study. Later in the day each child was observed and activity recorded. QQ plot revealed a linear trend. b. a study of preening behavior in the fruit fly Drosophila melanogaster, a single experimental fly was observed for three minutes while in a chamber with 10 other flies of the same sex.. The observer recorded the time of each episode of preening by the experimental fly. This experiment was replicated 15 times with male flies and 15 times with female flies. One question of interest was whether there is a sex difference in preening behavior. QQ plot revealed bowing. c. A consumer testing group compared two leading laundry detergents to determine which got laundry whiter. White towels that had been subjected to a variety of filthy treatments were randomly assigned to one of the two detergents. After washing, each set of towels was tested with a photometer for the amount of light reflected (testing their cleanliness). QQ plot revealed a linear trend. d. Eight young women participated in a study to investigate the relationship between the menstrual cycle and food intake. Dietary information was obtained every day by interview. Food intake was then calculated for the premenstrual cycles and the postmenstrual cycles of the women. QQ plot revealed significant bowing.

math Statistics-And-Probability

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$a.~Since~we~take~pair~observations~(i.e.~with~sugar~and~without~sugar)~from\\ each~child~and~since~from~QQ-plot~we~see~that~normality~assumption~holds~so~we~use\\ Dependent~Samples~t~Test.\\\\ b.~Since~QQ~plot~revealed~bowing~hence~normality~assumption~does~hold~here.~Since~the\\ experiment~was~replicated~15~times~with~male~flies~and~15~times~with~female~flies~hence\\ two~samples~are~independent.~Hence~here~we~apply~Independent~non-parametric~test~(for~example~Mann-Whitney~U~test).\\\\ c.~Since~QQ~plot~revealed~a~linear~trend~hence~normality~assumption~holds~here.~Since~\\ white~towels~that~had~been~subjected~to~a~variety~of~filthy~treatments~are~randomly\\ ~assigned~to~one~of~the~two~detergents,~hence~there~are~two~independent~samples.~Hence~\\ we~use~Independent~Samples~t~Test.\\\\$

$d.~Since~QQ~plot~revealed~bowing~hence~normality~assumption~does~hold~here.\\ ~Since~Eight~young~women~participated~in~a~study~to~investigate~the~relationship~between\\ the~menstrual~cycle~and~food~intake,~so~these~are~the~pair~observations.~Hence~we~apply~\\ Dependent~non-parametric~test~(for~example:~paired~sample~sign~test,\\ ~Wilcoxon~paired~sample~signed~rank~test).$

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