Dylan and Kelly measure the time it takes for two cans to roll down a ramp, cond

Question

Dylan and Kelly measure the time it takes for two cans to roll down a ramp, conducting fifty trials for each can. They then count up all their data and make a histogram (shown below, the horizontal axis is in seconds). 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 there is no significant difference between the two cans." Do you agree with their conclusions? Why or why not? If not, explain how you would analyze this data differently.

Explanation / Answer

No. The range overlap doesn't confirm that size is same, We have to use mean quantity to decide whether both cans are same. The average / mode of data will give more accurate result. For first can the average/mode comes around 3.25 and for second it comes to 2.8 hence both cans are not of same size.

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