Question

The mean value of land and buildings per acre froma sample of farms is $1500, with a standard deviation of $1 00. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1434 $1762 $1584 $1155 $1450 $1336 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $1584 B. $1450 C. $1762 D. $1434 E. $1155 F. $1336 G. None of the data values are verv unusual. Click to select your answer(s) and then click Check Answer. Check Answer Clear All All parts showing < Reflect in ePortfolio Activity Details You have viewed this topic

Answer 1

Given that, u = 1500, 0 =100 Using the empirical rule, 95% of the observations lies between u-20 and u+20 Any observations that lie outside this interval considered as unusual. u + 20 = 1500+ 2(100) = (1300,1700) Very unusual: u +30 = 1500+ 3*100 = (1200,1800) From the given values, it can observe that the data value 1155 falls outside the interval. So, the data value (1155) considered as very unusual Hence, the correct answer is option (E)