Question

the average morning commute in a large city is 38 minutes. Hoping to reduce the average commute, engineers use a computer model that allows them to add carpool lanes, vary speed limits, and implement other changes to current street designs. The city will actually implement these expensive changes if they can be shown to significantly reduce the mean commute time in the city. The engineers randomly generate 48 simulations based upon the proposed changes, and find that the mean commute time for these 48 simulations is 36.4 minutes, with a standard deviation of 6.4 minutes. Do these data from these 48 simulations suggest that the mean commute time for all simulations (with the engineers’ proposed changes) is less than the current commute time? Use α = 0.05 as the level of significance. In terms of this problem, explain why the process used in part A is valid.

          the average morning commute in a large city is 38 minutes.
Hoping to reduce the average commute, engineers use a computer
model that allows them to add carpool lanes, vary speed limits, and
implement other changes to current street designs. The city will
actually implement these expensive changes if they can be shown to
significantly reduce the mean commute time in the city. The
engineers randomly generate 48 simulations based upon the proposed
changes, and find that the mean commute time for these 48
simulations is 36.4 minutes, with a standard deviation of 6.4
minutes.
Do these data from these 48 simulations suggest that the mean
commute time for all simulations (with the engineers’ proposed
changes) is less than the current commute time? Use α = 0.05 as the
level of significance.
In terms of this problem, explain why the process used in part A
is valid.

Added by Lorenzo T.

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