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

question 102

Short Answer

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. $$\begin{array} { l l l l l l l l l l } 1495 & 1499 & 1502 & 1500 & 1491 & 1498 & 1498 & 1495 & 1488 & 1516 \\1513 & 1486 & 1504 & 1503 & 1493 & 1504 & 1489 & 1500 & 1495 & 1499 \\1501 & 1507 & 1511 & 1496 & 1486 & 1497 & 1510 & 1504 & 1493 & 1482 \\1511 & 1502 & 1520 & 1514 & 1486 & 1514 & 1500 & 1505 & 1512 & 1500 \\1504 & 1498 & 1503 & 1514 & 1474 & 1489 & 1488 & 1506 & 1517 & 1490\end{array}$$ 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, the appropriate hypotheses are: a) $H _ { 0 } : \mu = 1500$ versus $H _ { 1 } : \mu \neq 1500$
b) $H _ { 0 } : \mu \geq 1500$ versus $H _ { 1 } : \mu < 1500$
c) $H _ { 0 } : \mu \leq 1500$ versus $H _ { 1 } : \mu > 1500$
d) $H _ { 0 } : \mu \neq 1500$ versus $H _ { 1 } : \mu = 1500$

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Definitions:

Summary Jury Trial

A condensed version of a jury trial intended as a non-binding process to encourage settlement of disputes.

In Rem Jurisdiction

A legal principle that allows a court to exercise authority over a piece of property rather than a person.

Diversity of Citizenship

A legal principle that allows federal courts to hear lawsuits between parties from different states or countries, provided the amount in controversy exceeds a specified threshold.

Challenge for Cause

A legal objection during jury selection, where a party seeks to disqualify a potential juror for a specific, articulated reason suggesting bias or inability to serve impartially.