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Magazine Chapter 2: Q171SE (page 148)
Question: In his essay "Making Things Right," W. Edwards Deming considered the role of statistics in the quality control of industrial products. In one example, Deming examined the quality-control process for steel rods manufacturers. Rods produced with diameters smaller than 1 centimeter fit too loosely in their bearings and ultimately must be rejected (thrown out). To determine whether the diameter setting of the machine that produces the rods is correct, 500 rods are selected from the day's production, and their diameters are recorded. The distribution of the 500 diameters for one day's production is shown in the accompanying figure. Note that the symbol LSL in the figure represents the 1-centimeter lower specification limit of the steel rod diameters. There has been speculation that some of the inspectors are unaware of the trouble that an undersized rod diameter would cause later in the manufacturing process. Consequently, these inspectors may pass rods with diameters that are barely below the lower specification limit and record them in the intervalcenteredat 1.000 centimeters. According to the figure, is there any evidence to support this claim? Explain.
Short Answer
Answer
For centimeter for support to claim.
Step by step solution
Given information
From the given information Edwards Deming examined the quality control process for manufacturing steel rods. Rods are produced with diameters of centimeters. The diameter of the setting of the machine that produced those rods. Also, the distribution of diameters for one day's production shows in the graph. W.Edwards Deming explored the function of statistics in the quality control of commercial goods in his simple "Making Things Correct."
The figure shows the distribution of 500 diameters during one day's manufacturing (1)
Evidence to support the claim
From the given bar diagram axis shows the diameter, and the axis shows the frequency. So, for centimeters, it is support for the manufacturing process. So, there is evidence to support the claim.Yes, there is proof to back up the stated allegation.
Reason:
\Right arrow Figure (1) shows that there is just one bar with the maximum point in the period at 1.002.
\Right arrow, the right side of the histogram's maximum point extends far further out than the left side.
\Right arrow, except the interval 1.000, the top bar drops from the peak frequency. This bar is taller than the bar on the right.
As a result, passing rods with diameters just below the lowest requirements limit may exist.
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