the mean value of land and buildings per acre from a sample of farms is $1300, w

Question

the mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data set has a bell=shaped distibution. Assume the number of farms in the sample is 72.

use the emipirical rule to estimate the number of farms whose land and bulding valurs per acre are between $900 and $1700 ___farms (round to the nearest whole number as needed)

If 22 additional farms were sampled, about how mane of these additional farms would you expect to have land and bulding values per acre are between %900 and $1700 ___farms out of 22 (round to the nearest whole number as needed)

Explanation / Answer

here as 900 and 1700 lie 2 standard deviation away from mean hence from emipirical rule there are 95.45% farms will lie into this interval. therefore

number of farms whose land and bulding valurs per acre are between $900 and $1700 =0.9545*72=68.724~69

for 22 farms also the rule will hold

If 22 additional farms were sampled, about how mane of these additional farms would you expect to have land and bulding values per acre are between %900 and $1700 =22*0.9545=21

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