SCENARIO 3-14-A
You Are the Quality Control Manager of a Water

question 121

Short Answer

SCENARIO 3-14-A
You are the quality control manager of a water bottles company. One of the biggest complaints in the
past years has been the breakage and, hence, the concern on the durability of the connector between
the lid and the bottle which many users use as a handle for the bottles. To collect evidence before
implementing any modification to the production process, your department has subjected 100 water
bottles to a durability test and the following data on the number of times the handles have been used
to lift the bottles before they break are contained in the file Scenario3-14-DataA.XLSX. $$\begin{array} { l l l l l l l l l l } 495 & 499 & 502 & 500 & 491 & 498 & 498 & 495 & 488 & 516 \\513 & 486 & 504 & 503 & 493 & 504 & 489 & 500 & 495 & 499 \\501 & 507 & 511 & 496 & 486 & 497 & 510 & 504 & 493 & 482 \\511 & 502 & 520 & 514 & 486 & 514 & 500 & 505 & 512 & 500 \\504 & 498 & 503 & 514 & 474 & 489 & 488 & 506 & 517 & 490\end{array}$$
-Referring to Scenario 3-14-A, the standard deviation of the number of times the handles have
been used to lift the bottles before they break in this sample is ________.

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Definitions:

Variability

Variability in statistics refers to how spread out or dispersed a set of data is, indicating the degree to which these data points differ from each other and from their average.

Degrees Of Freedom

The number of independent values in a statistical calculation that are free to vary.

Independent Variables

Variables in an analysis that are manipulated or categorized to determine their effect on dependent variables; essentially the same as explanatory variables but in a different context.

Skewed Left

Describes a distribution of data where the tail is longer on the left side of the distribution, indicating a larger number of lower values.