SCENARIO 8-13-A
You Are the Quality Control Manager of a Water

question 72

True/False

SCENARIO 8-13-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
bottle to 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 Scenario8-13-DataA.XLSX. $$\begin{array} { l l l l l l l l l l } 495 & 499 & 502 & 500 & 491 & 498 & 498 & 495 & 488 & 516 \\513 & 486 & 504 & 503 & 493 & 504 & 489 & 500 & 495 & 499 \\501 & 507 & 511 & 496 & 486 & 497 & 510 & 504 & 493 & 482 \\511 & 502 & 520 & 514 & 486 & 514 & 500 & 505 & 512 & 500 \\504 & 498 & 503 & 514 & 474 & 489 & 488 & 506 & 517 & 490\end{array}$$ Assume that the population standard deviation is 5 and the number of times the handles have been
used to lift the bottles before they break follows a normal distribution.
-Referring to Scenario 8-13-A, it is possible that the mean of the population will not
fall between the computed lower and upper limit of the 95% confidence interval for the mean number
of times the handles have been used to lift the bottles before they break.

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Definitions:

Mixed Numbers

Numbers that contain both an integer and a fraction part.

Improper Fractions

Fractions in which the top number (numerator) is equal to or higher than the bottom number (denominator), signifying a value of at least one.

Lowest Terms

The simplest form of a fraction, where the numerator and denominator are reduced to their smallest possible values.

Rusty Metal Fence

A fence made of metal that has undergone oxidation, resulting in a reddish-brown flaky coating on its surface.