SCENARIO 2-19-A
You Are the Quality Control Manager of a Water

question 143

Short Answer

SCENARIO 2-19-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 50 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 Scenario2-19-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 2-19-A, based on the cumulative percentage polygon or cumulative
percentage distribution constructed using "473 but less than 480" as the first class, the percentage
of bottles with handles that broke after being used for lifting at least 515 times would be
________.

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Definitions:

Wilcoxon Signed Rank Test

The Wilcoxon Signed Rank Test is a non-parametric statistical test for comparing two matched or paired samples to assess whether their population mean ranks differ.

Test Statistic

A calculated value from data that is used to test a hypothesis in the context of statistical analysis, helping determine the probability of observing the given data under the null hypothesis.

Observations

Refers to the individual points or pieces of data collected during a study or research.

Two-Tailed Test

A statistical test that considers the possibility of an effect in two directions, both above and below the mean.