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

question 107

True/False

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, 95% of all confidence intervals constructed similarly
to this one with a sample size of 50 will contain the mean of the population.

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Definitions:

Contradictories

Logical opposites, where one statement denies the truth of the other statement.

Converses

In logic and mathematics, converses refer to statements in which the hypothesis and the conclusion of a conditional statement are swapped.

Contrapositive

In logic, the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

Complements

Elements that complete or go well together, enhancing each other's qualities.