SCENARIO 9-11-B
You Are the Quality Control Manager of a Water

question 22

True/False

SCENARIO 9-11-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
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 Scenario9-11-DataB.XLSX. $$\begin{array} { l l l l l l l l l l } 1493 & 1506 & 1515 & 1491 & 1500 & 1505 & 1517 & 1510 & 1506 & 1503 \\1503 & 1491 & 1495 & 1496 & 1496 & 1505 & 1493 & 1486 & 1504 & 1483 \\1514 & 1494 & 1497 & 1501 & 1493 & 1490 & 1510 & 1494 & 1494 & 1495 \\1494 & 1486 & 1495 & 1506 & 1506 & 1507 & 1502 & 1498 & 1510 & 1501 \\1500 & 1505 & 1492 & 1486 & 1501 & 1496 & 1501 & 1521 & 1510 & 1498\end{array}$$ Assume that the number of times the handles have been used to lift the bottles before they break
follows a normal distribution. You want to test to see if there is enough evidence that the mean
number of times the handles have been used to lift the bottles before they break is more than 1500.
-Referring to Scenario 9-11-B, you can conclude that there is enough evidence
that the mean number of times the handles have been used to lift the bottles before they break is
no more than 1500 when allowing for a 1% probability of committing a Type I error.

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Definitions:

Principle of Randomness

The concept that outcomes or selections are made in a way that all possible outcomes have an equal chance of occurring, without bias.

Public Opinion Polling

The process of surveying public opinion from a particular sample, used to infer the opinion or attitude of the population.

George Gallup

A pioneering American pollster and the founder of Gallup, Inc., known for developing modern survey techniques to gauge public opinion.

Literary Digest

A general interest magazine published in the United States in the first half of the 20th century, known for its failed prediction of the 1936 presidential election.