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

question 31

Short Answer

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. $$\begin{array} { l l l l l l l l l l l } \text { Vendor A } & 1498 & 1667 & 1530 & 1458 & 1315 & 1458 & 1411 & 1348 & 1583 & 1565 \\& 1495 & 1533 & 1473 & 1654 & 1499 & 1349 & 1486 & 1739 & 1820 & 1543 \\& 1440 & 1652 & 1610 & 1660 & 1563 & 1507 & 1450 & 1501 & 1515 & 1501 \\\text { Vendor B } & 2027 & 2007 & 1977 & 1787 & 2046 & 1945 & 1898 & 2130 & 2096 & 1876 \\& 2014 & 1815 & 1982 & 2004 & 1918 & 1904 & 2061 & 1986 & 1952 & 2061 \\& 2038 & 2227 & 2030 & 2079 & 1884 & 2045 & 2009 & 1970 & 1946 & 2011 \\\text { Vendor C } & 2784 & 3151 & 3126 & 2875 & 2881 & 3000 & 2872 & 3097 & 3020 & 3077 \\& 3082 & 2931 & 2922 & 2877 & 2905 & 3079 & 2916 & 2917 & 3110 & 3121 \\& 3084 & 3065 & 2974 & 2900 & 2860 & 2989 & 2978 & 2881 & 3095 & 2893\end{array}$$ 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 numerator and denominator degrees of freedom of the
Tukey-Kramer procedure used to determine which of the three means are different are ________
and ________, respectively.

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Definitions:

Direct Labor Time

The amount of time that workers directly involved in the production process spend on the manufacture of products, critical for costing and efficiency analysis.

Automated Production Line

A sequence of automated machines and workstations arranged to efficiently manufacture a product.

Activity-Based Costing

A pricing strategy that pinpoints various tasks within a company and allocates the expenses of each task to every product and service based on their real usage.

Idle Capacity

The condition where equipment or workspaces are not being used to their full potential, often resulting in inefficiency and lost productivity.