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

question 216

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 average spread around the mean 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:

Tossing

The act of throwing an object into the air with the outcome subject to chance, often used in determining probabilities.

Six Sided Die

A common type of die used in games, having six faces numbered one through six, with each face having an equal probability of landing up.

Probability

An indicator of how probable an event is to happen, represented by a numerical value ranging from 0 to 1.

Probability

The likelihood or chance that a particular event will happen, quantifiable as a value between zero (impossible) and one (certain).