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

question 42

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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, what should be the decision for the Levene's test for homogeneity of variances at a 5% level of significance?


Definitions:

Nonexempt Assets

Assets that can be seized by creditors under bankruptcy proceedings, as opposed to those protected or exempt.

Involuntary Petition

A legal process initiated by creditors requesting the bankruptcy court to declare a debtor bankrupt, typically utilized when the debtor is not paying outstanding debts.

Chapter 7

A provision of the U.S. Bankruptcy Code that involves the liquidation of a debtor's non-exempt assets to pay off creditors.

Consumer Debt

Consumer debt is a type of financial obligation that arises from the purchase of goods that are used for personal, family, or household purposes.

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