You are analyzing the behavior of two machines used to drill metal parts. Each hole derived by the machine needs to have an average diameter around 7mm accepting a variation of ±0.3mm, and to check how the machine is behaving, you took 100 holes from each machine making your choices. The values found are found in Tables 1 and 2. Table 1 - Measurement of holes performed by Machine 1. 6,92 6,78 7,09 6,98 7,02 7,01 7,25 6,84 6,61 6,82 6,81 6,57 6,93 7,01 6,99 7,19 6,55 6,93 6,97 6,83 6,82 6,59 6,83 7,03 7,11 7,09 7,02 6,71 6,95 6,91 6,60 7,00 7,04 6,96 6,48 6,55 6,77 6,72 7,32 6,77 6,66 6,74 6,39 6,98 7,28 6,70 6,67 6,52 7,25 6,81 Table 2 - Measurement of holes executed by Machine 2. 7,05 7,73 6,25 6,17 7,29 6,40 6,67 6,85 6,83 7,15 7,18 7,15 6,06 7,19 7,23 7,04 6,77 7,46 7,87 6,61 6,54 6,22 7,49 7,08 7,34 7,28 7,88 7,94 7,14 6,79 7,52 7,26 6,80 6,79 8,05 6,64 6,12 7,24 7,08 6,56 6,13 6,50 6,27 7,32 7,30 6,82 5,94 5,72 6,66 6,42 With the data from the tables, use Excel a) Obtain descriptive statistics for each machine, comparing the mean, maximum values and deviations and standard deviation found for each data set. Also build a histogram for each dataset to observe the behavior of the data. Check for the presence of moderate outliers, excluding them if any. Do not eliminate out-of-spec points for this analysis. b) Analyze the entire data set and find the percentage of holes outside the specifications on each machine, which machine has the lowest percentage of failures.
You are analyzing the behavior of two machines used to drill metal parts. Each hole derived by the machine needs to have an average diameter around 7mm accepting a variation of ±0.3mm, and to check how the machine is behaving, you took 100 holes from each machine making your choices.
The values found are found in Tables 1 and 2.
Table 1 - Measurement of holes performed by Machine 1.
6,92 6,78 7,09 6,98 7,02 7,01 7,25
6,84 6,61 6,82 6,81 6,57 6,93 7,01
6,99 7,19 6,55 6,93 6,97 6,83 6,82
6,59 6,83 7,03 7,11 7,09 7,02 6,71
6,95 6,91 6,60 7,00 7,04 6,96 6,48
6,55 6,77 6,72 7,32 6,77 6,66 6,74
6,39 6,98 7,28 6,70 6,67 6,52 7,25
6,81
Table 2 - Measurement of holes executed by Machine 2.
7,05 7,73 6,25 6,17 7,29 6,40 6,67
6,85 6,83 7,15 7,18 7,15 6,06 7,19
7,23 7,04 6,77 7,46 7,87 6,61 6,54
6,22 7,49 7,08 7,34 7,28 7,88 7,94
7,14 6,79 7,52 7,26 6,80 6,79 8,05
6,64 6,12 7,24 7,08 6,56 6,13 6,50
6,27 7,32 7,30 6,82 5,94 5,72 6,66
6,42
With the data from the tables, use Excel
a) Obtain
b) Analyze the entire data set and find the percentage of holes outside the specifications on each machine, which machine has the lowest percentage of failures.
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