In: Statistics and Probability
As bridge building, craftly clever Calpurnia does double duty dinners, emceeing elegant, elegiac, eleemosynary events; for forty favorite fat-cat friends, Georgia’s golden girl gladly helps heavy hitters initiate inimitable jovality. At her current bash, Calpurnia entertains 25 revelers who shell out $12,500 to donate to charity.
Using σ = $100, and Calpurnia’s estimated mean from part c., (12,500) estimate the probabilities that Calpurnia’s:
I. Mean donation from a party of 25 exceeds $520.
II. Total donations from a party of 100 exceeds $48,000.
Using σ = $100, how large a sample would Calpurnia need in order to estimate her mean fat-cat feelings to a:
I. 96% error margin of $20?
II. 99% error margin of $20?
III. Compare your answers and explain their difference.