*A group times how long it takes two cans to roll down a ramp fifty times for ea
ID: 2238848 • Letter: #
Question
*A group times how long it takes two cans to roll down a ramp fifty times for each can. They then count up all their data and make a histogram. As part of their conclusion in their lab report. they write " the max to min ranges for the times for each can are 2.8 to 3.6 seconds and 2.5 to 3.0 seconds. since the ranges overlap, we must conclude that the cans are the same. However, the histogram seems to show two different peaks. we don't know exactly what to make of that. " write a response to this group, including: 1- what you think their conclusion should be, and why? 2- what information the max to min range gives them? 3- a suggestion for another type of range besides max to min that they should think about using.
Explanation / Answer
a) The conclusion of their experiment should be that the times for cans to roll down the incline are not constant and have a random distribution, and on average can1 takes more time than Can2 to travel down the ramp. Also, the mean travel times must be reported in the conclusion b) The Max to min range provides a confidence interval, i.e. (1-1/50)98% chance that time for any trial of this experiment will have a result in this range. c)An Standard deviation around the mean would be a better measure to report along with the mean value.
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