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Chapter 1: Q58E (page 46)

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 part is determined. The comparative boxplot at the bottom of this page is constructed from the resulting data. Compare and contrast the two samples.

Short Answer

Expert verified

There exists only one outlier for machine 1 and the typical values are almost the same for both the machines.

Step by step solution

01

Given information

A comparative boxplot for two different machines to manufacture parts of a certain part is provided.

02

Compare the two samples

It can be observed from the provided comparative boxplot that,

  1. The data for machine 1 is negatively skewed as compared to symmetric plot of machine 2.

2. There is only one outlier that exists for machine 1.

3. The typical value appears to be approximately the same for both machines.

4. There is more variation in the sample values of machine 2 as compared to machine 1.

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Most popular questions from this chapter

Blood cocaine concentration (mg/L) was determined both for a sample of individuals who had died from cocaine-induced excited delirium (ED) and for a sample of those who had died from a cocaine overdose without excited delirium; survival time for people in both groups was at most 6 hours. The accompanying data was read from a comparative boxplot in the article 鈥淔atal Excited Delirium Following Cocaine Use鈥� (J.

of Forensic Sciences, 1997: 25鈥�31).

ED0 0 0 0 .1 .1 .1 .1 .2 .2 .3 .3

.3 .4 .5 .7 .8 1.0 1.5 2.7 2.8

3.5 4.0 8.9 9.2 11.7 21.0

Non-ED0 0 0 0 0 .1 .1 .1 .1 .2 .2 .2

.3 .3 .3 .4 .5 .5 .6 .8 .9 1.0

1.2 1.4 1.5 1.7 2.0 3.2 3.5 4.1

4.3 4.8 5.0 5.6 5.9 6.0 6.4 7.9

8.3 8.7 9.1 9.6 9.9 11.0 11.5

12.2 12.7 14.0 16.6 17.8

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116.4 115.9 114.6 115.2 115.8

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  2. Use the deviations calculated in part (a) to obtain the sample variance and the sample standard deviation.
  3. Calculate\({{\bf{s}}^{\bf{2}}}\)by using the computational formula for the numerator \({S_{xx}}\).
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Zinfandel is a popular red wine varietal produced almostexclusively in California. It is rather controversialamong wine connoisseurs because its alcohol contentvaries quite substantially from one producer to another.In May 2013, the author went to the website klwines.com, randomly selected 10 zinfandels from among the 325 available, and obtained the following values of alcoholcontent (%):

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