SCENARIO 8-12-A
You Are the Quality Control Manager of a Water

question 98

Short Answer

SCENARIO 8-12-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 SCENARIO 8-12-A.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 and the number of times the handles have been used to lift the bottles before they break
follows a normal distribution.
-Referring to Scenario 8-12-A, the lower and upper bounds of the 95% confidence interval for the
mean number of times the handles have been used to lift the bottles before they break are ____ and
_____.

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Definitions:

Infancy

The earliest stage in human development, extending from birth to approximately 2 years of age, marked by rapid physical and cognitive growth.

REM Sleep

A stage of sleep characterized by rapid eye movements, more dreaming, and bodily movement; considered important for emotional regulation and memory consolidation.

Mammals

Warm-blooded vertebrate animals characterized by the presence of mammary glands, which females use to feed their young.

Chronic Sleep Deprivation

A condition characterized by consistently not achieving enough sleep, leading to significant negative health and cognitive effects.