Question: A small experiment was conducted to test the impact lathe speed has on the surface Finish (a measure of the overall texture of a surface

 A small experiment was conducted to test the impact lathe speed

A small experiment was conducted to test the impact lathe speed has on the surface Finish (a measure of the overall texture of a surface characterized by the lay, roughness and waviness of the surface). Six pieces of metal were run through a lathe at three speeds (500, 700 and 900 rpm) sequentially (two at the 500 rpm speed, then two at 700 rpm and lastly two at 900 rpm) and the surface finish (roughness measured in micrometers) of each was measured; the same lathe was used for all six pieces using the same lathe operator. The data is input into R in the code chunk below. lathe_data % kable() Speed Finish 500 8 500 1 3 700 1 0 700 1 6 900 1 8 900 23 Source: Experimental Design & Analysis Reference by ReliaSoft Corporation. The experimental units in this experiment are the six pieces of metal since they are what is being measured. The response variable is the surface finish (roughness), with a single factor in the experiment, lathe speed, with three factor levels or treatments, 500 rpm, 700 rpm and 900 rpm

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