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

question 53

Short Answer

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, the value of the test statistic is ________.

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Definitions:

Goal

An intended outcome or target that an individual or organization aims to achieve.

Compounded Semi-annually

The process of adding interest to the principal sum of a loan or deposit twice a year, also accounting for the interest accumulated over the period.

Monthly Payment

Regular payment made every month, commonly in the context of repaying loans or paying bills.

Home Renovations

Improvements or alterations made to a residential property, often intended to increase its value, functionality, or aesthetic appeal.