The mean value of land and buildings per acre from a sample of farms is $1800, w

Question

The mean value of land and buildings per acre from a sample of farms is $1800, with a standard deviation of $200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 71. (a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1400 and $2200. farms (Round to the nearest whole number as needed.) (b) If 28 addlitional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1400 per acre and $2200 per acre? ?farms out of 28 (Round to the nearest whole number as needed.) Enter your answer in each of the answer boxes SUBLEASE MultiGen...pdt Show All × DO 2 4 5 6

Explanation / Answer

a)
z(1400) = (1400-1800)/(200) = -2
z(2200) = (2200-1800) = +2
p(1400-2200) = p(-2< z < +2) = 0.9545

Ans:: 0.9545*71 = 67.7695
68 farms when rounded up

b)
0.9545 * 28 = 26.7260

27 farms out of 28

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