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

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SCENARIO 9-11-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 Scenario9-11-DataA.XLSX. 14951499150215001491149814981495148815161513148615041503149315041489150014951499150115071511149614861497151015041493148215111502152015141486151415001505151215001504149815031514147414891488150615171490\begin{array} { l l l l l l l l l l } 1495 & 1499 & 1502 & 1500 & 1491 & 1498 & 1498 & 1495 & 1488 & 1516 \\1513 & 1486 & 1504 & 1503 & 1493 & 1504 & 1489 & 1500 & 1495 & 1499 \\1501 & 1507 & 1511 & 1496 & 1486 & 1497 & 1510 & 1504 & 1493 & 1482 \\1511 & 1502 & 1520 & 1514 & 1486 & 1514 & 1500 & 1505 & 1512 & 1500 \\1504 & 1498 & 1503 & 1514 & 1474 & 1489 & 1488 & 1506 & 1517 & 1490\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-A, for a test with a level of significance of 0.01, the critical value
would be ________.


Definitions:

Model

Simulation of a process that aids conceptual understanding until the process can be studied firsthand; a hypothesis that describes how a particular process could possibly be carried out.

Researchers

Individuals engaged in systematic investigation to establish facts, develop new conclusions, or revise existing theories.

Extreme Environments

Habitats characterized by extreme conditions, such as high or low temperatures, high salinity, or high pressures, that are challenging for most life forms.

Domain Archaea

One of the three domains of life; contains prokaryotic cells that often live in extreme habitats and have unique genetic, biochemical, and physiological characteristics; its members are sometimes referred to as archaea.

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