Question: Theexamplein Section 3.1.4 simulatedsamplingdistributionsofthesamplemeantodetermine howprecise Y for n = 25 mayestimateapopulation mean . (a) Findthetheoreticalstandarderrorof Y for thescenariovaluesof = 5 and 8. Howdo they

Theexamplein Section 3.1.4 simulatedsamplingdistributionsofthesamplemeantodetermine howprecise Y for n = 25 mayestimateapopulation mean μ.

(a) Findthetheoreticalstandarderrorof Y for thescenariovaluesof σ = 5 and 8. Howdo they comparetothestandarddeviationsofthe100,000samplemeansinthesimulations?

(b) Inthefirstscenario,wechose σ = 5 under thebeliefthatif μ = 20, about2/3ofthesample valueswouldfallbetween$15and$25.Forthegammadistributionwith (μ, σ) = (20, 5), showthattheactualprobabilitybetween15and25is0.688.

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