SCENARIO 9-11-B
You Are the Quality Control Manager of a Water

Short Answer

SCENARIO 9-11-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. To collect evidence before
implementing any modification to the production process, your department has subjected 50 water
bottle to durability test and the following data on the number of times the handles have been used to
lift the bottles before they break are contained in the file Scenario9-11-DataB.XLSX. $$\begin{array} { l l l l l l l l l l } 1493 & 1506 & 1515 & 1491 & 1500 & 1505 & 1517 & 1510 & 1506 & 1503 \\1503 & 1491 & 1495 & 1496 & 1496 & 1505 & 1493 & 1486 & 1504 & 1483 \\1514 & 1494 & 1497 & 1501 & 1493 & 1490 & 1510 & 1494 & 1494 & 1495 \\1494 & 1486 & 1495 & 1506 & 1506 & 1507 & 1502 & 1498 & 1510 & 1501 \\1500 & 1505 & 1492 & 1486 & 1501 & 1496 & 1501 & 1521 & 1510 & 1498\end{array}$$ Assume that the number of times the handles 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 that the mean
number of times the handles have been used to lift the bottles before they break is more than 1500.
-Referring to Scenario 9-11-B, for a test with a level of significance of 0.01, the critical value
would be ________.