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est Test #2 (Ch 3, 4 & 5) Time R 1 pt This Test 12 pts po The annual per capita consumption of ice cream (in pounds) in the United States can be appraximated by the normal distribution, as shown in the igure to the right (a)Vitalithe largest annual per capita contungion of ice aeam that can be in the bonom 9% of consumpīrs? (Round to one decimal place as needed ) (b)The midde to%ofconwmption les between»m]pounds Round to one decimal place as neoded j 1154 We a Mean 17.4 Type here to search
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Answer #1

The annual per capita consumption of ice cream in the United States can be approximated by the Normal distribution with mean 16.6 and standard deviation 3.8 a) P(X<x) 0.09 ^<-0.09 P(Z <z) 0.09 From the standard normal table values, observe that the critical value ofz for the one tail test and the corresponding cumulative area of 9% is-1.34 Therefore, z--1.34 x1.34 μ-1.340 -16.6-1.34(3.8) -16.6-5.09 x The largest annual per capita consumption of ice cream that be in the bottom 9% of consumption is 11.5 pounds

b)

Calculate two values that the middle 80% of the consumption lies.

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