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A company utilizes two different machines to manufacture parts of a certain type

ID: 3225902 • Letter: A

Question

A company utilizes two different machines to manufacture parts of a certain type. During a single shift, a sample of n = 20 parts produced by each machine is obtained, and the value of a particular critical dimension for each pare is determined. The side by side boxplot below is constructed from the resulting data. Compare and contrast the two samples. The median is much larger for machine 1 than for machine 2. The median is much larger for machine 2 than for machine 1. Machine 2's sample values have considerably more variation than machine 1's sample values. Machine 1 and machine 2's sample values have about the same amount of variation. The only outlier that exists is from machine 1. There are no outliers present. The only outlier that exists is from machine 2. The median seems to be about the same for the two machines. Machine 1's sample values have considerably more variation than does machine 2's sample values.

Explanation / Answer

Answer - Three statements that are correct are -

1. Machine 2's sample values have considerably more variation than machine 1's sample values.

This is because box is bigger in the case of 2nd machine.

2. The only outlier exists is from machine 1 . This is denoted by dot in the graph.

3. The median seems to be about the same for two machines. As the median is depicted by the straight line inside the box and this line coincides at the same value in the graph.

TY!

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