Question

An anthropologist was that after alcohol had been consumed, subjective perceptions of physical attractiveness would become more inaccurate (the so-called ""beer-goggles effect"). She was also interested in whether this effect She then took groups of eight participants to a received placebo drinks of alcohol-free beer), 2 pints of a strong beer, or 4 pints of a strong beer. At the end of the evening she took a photograph ofthe person that each participant showed the strongest degree of attraction toward. She then recruited a pool of independent judges person in each photograph was nterested in the effects of alcohol on mate selection at night clubs. Her rationale different for men and women. She recruited 48 student volunteers: 24 males and 24 females night club and gave them no alcohol (these participants was to assess the attractiveness of the on a scale of1 to 100 1) State the null and alternative hypotheses for the main effects in this research study. You will have one set of null/altemative hypotheses for each independent variable. You need only express these hypotheses as mathematical symbols (that is, using u or o2, Note: You will need to specifically include the hypothesis pairs for each tested main effect - do not use the overall approach you may have learned from lecture for this assignment) 2.) A third set of null/altermative hypotheses are also necessary for this type of study because of the potential for an interaction effect. Write the null and alternative hypotheses for the interaction effect

Answer 1

$1.~\mu_M=true~mean~score~of~male~and~\mu_F=true~mean~score~due~to~female.\\ Null~hypothesis,~H_{01}:\mu_M=\mu_F~vs.~Alternative~hypothesis,~H_{a1}:\mu_M\neq \mu_F\\ Let~\mu_1=true~mean~score~for~control~group\\ \mu_2=true~mean~score~due~to~2~pints~of~a~strong~beer\\ \mu_3=true~mean~score~due~to~4~pints~of~a~strong~beer\\ Null~hypothesis,~H_{02}:\mu_1=\mu_2=\mu_3~vs.~Alternative~hypothesis,~H_{a2}:~at~least~one~\mu_j's~is~different~from~others.\\ 2.~Let~\mu_{ij}=mean~score~due~to~ith~gender~and~jth~type~of~bear\\~where~i=1,2;~j=1,2,3\\ Gender~1=Male,~Gender~2=Female,~Bear~Type~1=Alcohol~free~beer,\\ Bear~Type~2=2~pints~of~a~strong~beer,\\ Bear~Type~3=3~pints~of~a~strong~beer~then\\ Null~hypothesis,~H_{03}:\mu_{11}=\mu_{12}=\mu_{13}=\mu_{21}=\mu_{22}=\mu_{23}\\ vs.~Alternative~hypothesis,~H_{a3}:~At~least~one~\mu_{ij}'s~is~different~from~others.$