Question

3 For normally distributed data with u=50 and o=4, there is an interval in Which 60% of all values are symmetrically distributed around the mean . What value of x represents the lower limit of a that interval? Po 4 In the United States, people consume bottled water with = 31.8 gallons with a variance of 100 anually. 99% of people in the us consure less than how many gallons of bottled water?

Answer 1

3 XnN(M=50, 5=4). PCL <x<u) = 0.60 > pl 2-50 < x-5o curso) = 0.60 → PS L CZ < 0-to) = 0.60 Symmetric interval = 0-50- (-) P(Z < < Zo) = 0.60 → Z = 6842 Z = 0.842 (from standard normal cDf stable) 3 4 --S0 = -0.842 2=50 – 3368 = 46.632 4 XNN(M= 31.8, 8² = 100). let to be such that p(x = xo) =0.99 on P(x-318 < x-31.8) = 0.99 on p(24 X-3118 ) = 0.99 ar P(Z = 2.326) = o.ĝg from standard normal? CDF table %-31.8 - 2.326 = Xo = 55.06 16