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

question 77

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 five-number summary of the data in this sample consists of
________, ________, ________, ________, ________.

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Definitions:

Kruskal-Wallis Test

A nonparametric test used to compare three or more groups based on ranks of data points rather than means or medians.

One-tail

One-tail refers to one-sided tests in hypothesis testing where the critical area of a distribution is one-sided, either to the right or left, focusing on a specific direction of interest.

Two-tail

A term used in statistical tests where the critical region is split between both ends of the distribution, testing for either significantly greater or lesser outcomes than the expected value.

Kruskal-Wallis Test

A non-parametric method for testing whether samples originate from the same distribution, often used as an alternative to one-way ANOVA when the assumptions of ANOVA are not met.