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

question 9

Short Answer

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. $$\begin{array} { l l l l l l l l l l l } \text { Vendor A } & 1460 & 1519 & 1364 & 1521 & 1628 & 1265 & 1552 & 1496 & 1411 & 1614 \\& 1508 & 1587 & 1484 & 1554 & 1459 & 1529 & 1515 & 1446 & 1517 & 1511 \\& 1563 & 1548 & 1536 & 1478 & 1665 & 1656 & 1544 & 1361 & 1573 & 1429 \\\text { Vendor B } & 2941 & 2975 & 3231 & 2890 & 3001 & 2930 & 2924 & 2916 & 3048 & 3066 \\& 3012 & 3108 & 2982 & 3126 & 3105 & 2879 & 2944 & 3066 & 2984 & 3057 \\& 3217 & 3058 & 2987 & 2977 & 3178 & 3252 & 3024 & 3156 & 3029 & 3103 \\\text { Vendor C } & 2020 & 1928 & 2135 & 1777 & 2005 & 2061 & 2029 & 1860 & 1967 & 2099 \\& 2031 & 2188 & 2137 & 1945 & 1952 & 1905 & 2031 & 1853 & 1974 & 2071 \\& 1966 & 2084 & 1998 & 2179 & 1988 & 2002 & 2178 & 1995 & 2076 & 1873\end{array}$$ 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 mean square within (MSW) of the Tukey-Kramer procedure
used to determine which of the three means are different is ________.

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Definitions:

Call Provision

A clause in a bond or other fixed-income security that allows the issuer to repurchase and retire the debt before its maturity date.

Bondholder

A bondholder is an investor or entity that owns bonds issued by corporations or governments and is entitled to receive periodic interest payments and the return of the bond's face value at maturity.

Negative Covenant

A clause in a contract that restricts certain actions by the party involved, often used in lending agreements to protect the lender.

Convertible Bonds

Bonds that can be converted into a predetermined number of the issuing company’s equity shares at certain times during their life, usually at the discretion of the bondholder.