A student has two routes she can take to campus. The length of time it takes to

Question

A student has two routes she can take to campus. The length of time it takes to drive each of these routes depends on traffic. Route A has a mean travel time of 20 minutes and standard deviation 4 minutes. Route B has a mean travel time of 16 minutes with a standard deviation of 3 minutes. Assume both distributions are unimodal and roughly symmetric Use this information to answer the next three questions Which of the following scenarios would lead to the same zscore for each dive? a Route A takes 22 mintes and Route B takes 20 minutes b Route A takes 18 minsutes and Route B takes 14 5 minute Route A takes 16 minutes and Roate B takes 16 minutes d Roate A takes 20 minutes and Route B takes 18 minute

Explanation / Answer

mean = 20 , sd = 4

and for second route mean = 16 , and sd = 3

we know that the z score is given as

Z = (X-Mean)/SD

a) Z = (22-20)/4 = 0.5 , and Z = (22-16)/3 = 2

b) Z =  (18-20)/4 = -0.5 and for the second route (14.5-16)/3 = -0.5

Hence the correct answer is B

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