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

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SCENARIO 11-10-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. 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-DataB.XLSX.  Vendor A 146015191364152116281265155214961411161415081587148415541459152915151446151715111563154815361478166516561544136115731429 Vendor B 294129753231289030012930292429163048306630123108298231263105287929443066298430573217305829872977317832523024315630293103 Vendor C 202019282135177720052061202918601967209920312188213719451952190520311853197420711966208419982179198820022178199520761873\begin{array} { l l l l l l l l l l l } \text { Vendor A } & 1460 & 1519 & 1364 & 1521 & 1628 & 1265 & 1552 & 1496 & 1411 & 1614 \\& 1508 & 1587 & 1484 & 1554 & 1459 & 1529 & 1515 & 1446 & 1517 & 1511 \\& 1563 & 1548 & 1536 & 1478 & 1665 & 1656 & 1544 & 1361 & 1573 & 1429 \\\text { Vendor B } & 2941 & 2975 & 3231 & 2890 & 3001 & 2930 & 2924 & 2916 & 3048 & 3066 \\& 3012 & 3108 & 2982 & 3126 & 3105 & 2879 & 2944 & 3066 & 2984 & 3057 \\& 3217 & 3058 & 2987 & 2977 & 3178 & 3252 & 3024 & 3156 & 3029 & 3103 \\\text { Vendor C } & 2020 & 1928 & 2135 & 1777 & 2005 & 2061 & 2029 & 1860 & 1967 & 2099 \\& 2031 & 2188 & 2137 & 1945 & 1952 & 1905 & 2031 & 1853 & 1974 & 2071 \\& 1966 & 2084 & 1998 & 2179 & 1988 & 2002 & 2178 & 1995 & 2076 & 1873\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-B, the value of MSA is ______ while MSW 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.


Definitions:

Respiratory Function

The processes involved in the exchange of oxygen and carbon dioxide between the atmosphere and the body's cells, critical for sustaining life.

Narcotic Analgesic

A class of drugs that reduce pain, induce sleep, and can alter mood or behavior, often derived from opium or produced synthetically.

Cultural Beliefs

The principles and standards shared by a group of people, passed from generation to generation, influencing behaviors and perceptions.

After Death

The period or state following the cessation of life in an organism.

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