CNSLl 503l /l CNSL503l Modulel 5:l (Latestl
2025/l 2026l Update)l Statisticsl |l Questionsl &l Answers|l Gradel A|l 100%l Correctl (Verifiedl Solutions)-l Portagel Learning
Q:l Definel degreesl ofl freedom.l Whatl isl thel formulal forl calculatingl thel degreesl ofl freedoml forl al onel samplel tl test?l Anl independentl samplesl t- test?l Al pairedl samplesl t-test?
Answer:
Thel terml degreesl ofl freedoml (df)l refersl tol thel numberl ofl valuesl thatl mayl varyl freelyl untill remainingl valuesl arel determined.Onel samplel andl pairedl samplesl havel degreesl ofl freedoml dfl =l nl -l 1.Independentl samplesl t-testsl havel degreesl ofl freedoml dfl =l n1l +l n2l -l 2.Thel dfl isl includedl inl thel equationsl forl thel samplel standardl deviationl andl variance
Q:l Admissionsl counselorsl atl al locall collegel claiml thatl thel IQl scoresl ofl theirl studentsl arel greaterl thanl thel averagel IQ.l Theyl selectl 11l collegel studentsl andl measurel theirl IQl scores.111l 98l 118l 100l 94l 110l 123l 110l 99l 96l 120 Thel samplel statisticsl calculatedl arel asl follows:l nl =l 11,l =l 107.1818,l andl sl =l 10.3133.l Conductl al onel samplel t-testl (αl =0.05)l tol testl thel claiml thatl thisl samplel ofl studentsl hasl al meanl IQl scorel greaterl thanl 100l (whichl isl 1 / 2
thel meanl IQl scorel ofl thel generall population).l Reportl thel resultsl inl APAl format.
Answer:
H0=l u=100 Ha=l u>100 t=l 2.3096 APAl FORMAT t(10)=l 2.3096,l p<.05
Q:l Calculatel thel effectl sizel (d)l ofl thel samplel =109.5,l μl =100,l andl sl =5.2.l Interpretl thel result.d=l 1.83
Answer:
Recalll thatl generallyl anl effectl sizel (d)l ofl 0.20l isl consideredl al smalll effect,l 0.50l isl al moderatel effect,l andl 0.80l isl al largel effect.l Therefore,l thisl effectl wouldl bel consideredl veryl large.
Q:l Constructl anl 80%l confidencel intervall forl al two-tailedl tl testl withl =l 46,l μ=50,l sl =l 4.7434,l n=10.u=l x̄l +tcritl xl S(x̄)l wherel S(x̄)=l squarel rootl (s^2l /l n) tcrit=l 1.383,l a=l .20l twol tailed
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