The company you work for, The Ohm Depot, makes specialized resistors in Chandler, Arizona $($next door to the Intel Ocotillo plant$).$ Your supervisor, Rory Ohmstead, earned her B$.$S$.$ Engineering Management from Virginia Tech.

Violet is able to provide you with the resistance values $($or ohms$)$ from some resistors, and she tells you that each resistor that is scrapped costs $$0\mathrm{.}45.$ A sample of $16$ weeks shows the following number of scrapped resistors: $75,84,102,103,93,107,106,103,103,87,97,94,82,96,108,104.$

Violet has asked you to prepare a one$-$page Word doc memo that will answer the following questions:

$1.$ What are the upper and lower bounds of a $99\%$ confidence interval on the mean number of scrapped resistors?

$2.$ Using your upper and lower bound values from $1.$ above, and using an interest rate of $15\%$ per year $($remember$,$ your data is in weeks$),$ what is the projected yearly cost of scrapped resistors, low and high estimates?