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:

Confidence Interval

A range of values, derived from sample statistics, that is believed, with a certain level of confidence, to contain the value of an unknown population parameter.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, frequently used in statistics to gauge the spread of a dataset.

Random Sample

A subset of individuals chosen from a larger set where each individual has an equal chance of being selected, designed to represent the larger group.

Waiting Time

The period between a request or need for service and the actual provision of that service, often analyzed in queue theory and service operations.