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SCENARIO 11-10-A
You Are the Quality Control Manager of a Water

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SCENARIO 11-10-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. You have started looking for
alternative replacement for the existing connector design. Three different vendors have proposed
different designs and provided data they have collected on their designs that have been subjected to a
durability test. The data on the number of times the connectors designed by them have been used to
lift the bottles before they break from random samples of 30 bottles are shown below and also
contained in the file Scenario11-10-DataA.XLSX.  Vendor A 149816671530145813151458141113481583156514951533147316541499134914861739182015431440165216101660156315071450150115151501 Vendor B 202720071977178720461945189821302096187620141815198220041918190420611986195220612038222720302079188420452009197019462011 Vendor C 278431513126287528813000287230973020307730822931292228772905307929162917311031213084306529742900286029892978288130952893\begin{array} { l l l l l l l l l l l } \text { Vendor A } & 1498 & 1667 & 1530 & 1458 & 1315 & 1458 & 1411 & 1348 & 1583 & 1565 \\& 1495 & 1533 & 1473 & 1654 & 1499 & 1349 & 1486 & 1739 & 1820 & 1543 \\& 1440 & 1652 & 1610 & 1660 & 1563 & 1507 & 1450 & 1501 & 1515 & 1501 \\\text { Vendor B } & 2027 & 2007 & 1977 & 1787 & 2046 & 1945 & 1898 & 2130 & 2096 & 1876 \\& 2014 & 1815 & 1982 & 2004 & 1918 & 1904 & 2061 & 1986 & 1952 & 2061 \\& 2038 & 2227 & 2030 & 2079 & 1884 & 2045 & 2009 & 1970 & 1946 & 2011 \\\text { Vendor C } & 2784 & 3151 & 3126 & 2875 & 2881 & 3000 & 2872 & 3097 & 3020 & 3077 \\& 3082 & 2931 & 2922 & 2877 & 2905 & 3079 & 2916 & 2917 & 3110 & 3121 \\& 3084 & 3065 & 2974 & 2900 & 2860 & 2989 & 2978 & 2881 & 3095 & 2893\end{array} Assume that and the number of times the connectors 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 of a difference
in mean number of times the connectors have been used to lift the bottles before they break across the
three vendors.
-Referring to Scenario 11-10-A, the total variation or SST is ________ for the test to determine
whether there is enough evidence of a difference in mean number of times the connectors have
been used to lift the bottles before they break across the three vendors.

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Definitions:

Bony Feature

A characteristic or distinct aspect of the skeletal system, often referring to landmarks or projections on bones.

Soft Tissue

Refers to the tissues that connect, support, or surround other structures and organs of the body, not including bones.

Lateral Malleolus

The bony prominence on the outer side of the ankle, formed by the lower end of the fibula.

Medial View

Refers to viewing the body or a body part from the direction of the midline, emphasizing anatomical features located close to the center of the body.

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