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

question 94

True/False

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, if a level of significance of 0.05 is chosen 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, the
conclusion indicates that at least 2 of the designs have different means.

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Definitions:

Stepmothers

Women who are married to one's parent after a divorce or death of the previous spouse, and who may have stepchildren from the marriage.

Stepfathers

Men who are married to someone with children from a previous relationship, assuming the role of a father figure to those children.

Role Expectations

Presumptions about how individuals should behave in a particular role or social position.

Remarriages

The act of marrying again after the dissolution of a previous marriage, either due to divorce or the death of a spouse.