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

question 65

Multiple Choice

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 parameter of interest is

• A) the percentage of water bottles with broken handles that break after having been used to lift the bottles for more than 1500 times.
• B) the percentage of water bottles with broken handles that break after having been used to lift the bottles for less than 1500 times.
• C) the mean number of times the handles of the water bottles manufactured by your company have been used to lift the bottles before they break.
• D) the mean number of times the handles of all the water bottles on the market have been used to lift the bottles before they break.

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Definitions:

Abdominal Flat Plate

A type of X-ray imaging typically used to look at the abdominal area and diagnose conditions related to the gastrointestinal tract.

Fecal Occult Test

A screening tool used to detect hidden blood in the stool, often an early sign of colorectal cancer or other conditions.

Hemorrhoids

Swollen and inflamed veins in the rectum and anus that cause discomfort and bleeding.

Liquid Stool

A watery form of feces, often indicative of digestive disturbances or gastroenteritis.