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

question 256

Short Answer

SCENARIO 2-19-B
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-DataB.XLSX. $$\begin{array} { l l l l l l l l l l } 493 & 506 & 515 & 491 & 500 & 505 & 517 & 510 & 506 & 503 \\503 & 491 & 495 & 496 & 496 & 505 & 493 & 486 & 504 & 483 \\514 & 494 & 497 & 501 & 493 & 490 & 510 & 494 & 494 & 495 \\494 & 486 & 495 & 506 & 506 & 507 & 502 & 498 & 510 & 501 \\500 & 505 & 492 & 486 & 501 & 496 & 501 & 521 & 510 & 498\end{array}$$
-Referring to Scenario 2-19-B, based on the cumulative percentage polygon or cumulative
percentage distribution constructed using "480 but less than 487" as the first class, the percentage
of bottles with handles that broke after being used for lifting at least 487 times would be
________.

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Definitions:

T-test

A statistical test used to compare the means of two groups to determine if they are significantly different from each other.

Nonsignificant

An outcome of a statistical test indicating that the evidence is not strong enough to reject the null hypothesis.

Nonsignificant

A statistical term indicating that the results of an analysis do not show evidence to reject the null hypothesis, suggesting that any observed effect could be due to chance.

Insignificant

A term used in statistics to describe a result that fails to provide enough evidence to reject the null hypothesis.