ALEKS Business Stats Students at a major university are complanng of a serious h

Question

ALEKS Business Stats Students at a major university are complanng of a serious housig crunch Many of the unversity's students, they complain, have N commute too tar to school because there is not enough housing noar campus. The unsversity officials respond with the following nformation the mean distance commuted to school by statents s 14.3 mies, and the standard deviation of the distance com muded s 3.9 mles Assuming that the university officials' information s conect,complete the ftollowing statoments about the dotribution of commute distances for students at this university a) According to Chebyshev's thece a east sof the comute astances between 6 5 mles and 22 (c) Suppose that the deinieution s bell shaoed Acconting to the e a) Suppose hat the approximately sa of the commuse dstances te bertween aes

Explanation / Answer

a) for 4.55 and 24.05 are 2.5 std deviaiton away from mean

therfore probability=(1-1/k2)*100 =(1-1/2.52)*100 =84%

b)for 6.5 and 22.1 falls 2 std deviaiton away from mean

therfore probability=(1-1/k2)*100 =(1-1/2.2)*100 =75%

c)

for normal distirbution probability P(-2<Z<2) =95.45%

d) as 68% values fall 1 std deviation away; therefore commute distabce be between 10.4 and 18.2

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