mathal.com MTH 285-FA17 (CRN 4949) Test: Chapter 5 Test This Question: 1 pt This

Question

mathal.com MTH 285-FA17 (CRN 4949) Test: Chapter 5 Test This Question: 1 pt This Test: 26 pts posed nanas (in pounds) inthe utilad States can be·ppginated by the nom" astbten, wm a mean of t1.5pure and . sia da d divtio-,m's A-heMd The annual capta consumption affresh specifed nomal distribution intune (ab what s the smalest annual per capta consumption of bananas tat oan be in two top 0% ofconsumptions? e) what-tho largest annual per capita consump6on of bar aras Palca, bein "e bcnn S%ofcownpo? Cick to ie aos 1of the Standand Normal Jable Table para ta) The smalesn annual per capela consumption of bananas that can beintetp 10% of tusumptions is t Round to one decienal place as needed.) at a·beitse bonom 5% aroonuptors i,pound (b) The largaat malp" cata oo capta consumption of beraras sumption of braras t at a, witwt tom 5% of runon Round to one decimal place as needed Enter your anwww in each of the e8 2.0

Explanation / Answer

Mean annual per capita consumption of fresh bananas = 11.5 pounds

Standard deviation of annual per capita consumption of fresh bananas = 3 pounds

Hre if X is annual per capita consumption of fresh bananas.

(a) Here the top 10% consumption is X0

Pr(X > Xo ) = NORM(X > Xo ; 11.5; 3) = 0.10

Here Z value

Z = 1.2816

Z = (X0 - 11.5)/3 = 1.2816

X0 = 11.5 + 3 * 1.2816 = 15.345 pounds

(b)

Here the bottom 5% consumption is X0

Pr(X > Xo ) = NORM(X < Xo ; 11.5; 3) = 0.05

Here Z value for the given p - value

Z = -1.645

-1.645 = (X0 -11.5)/3

X0 = 11.5 - 3 * 1.645 = 6.565 Pounds

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