Soda Cans a Machine That Fills Cans with Soda Fills

question 17

Essay

Soda cans A machine that fills cans with soda fills according to a Normal model with mean
12.1 ounces and standard deviation 0.05 ounces.
a. If the cans claim to have 12 ounces of soda each, what percent of cans are under-filled?
b. Management wants to ensure that only 1% of cans are under-filled.
i. Scenario 1: If the mean fill of the cans remains at 12.1 ounces, what standard deviation does the filling machine need to have to achieve this goal?
ii. Scenario 2: If the standard deviation is to remain at 0.05 ounces, what mean does the filling machine need to have to achieve this goal?

---

Definitions:

Complex Tasks

Tasks that involve multiple steps, decisions, or elements and require a higher level of cognitive engagement to complete.

Extrinsic Motivation

The drive to perform an activity due to external rewards or pressures, rather than for the satisfaction derived from the activity itself.

Intrinsic Motivation

The drive to engage in activities for their inherent satisfaction or enjoyment, rather than for some separable consequence.

Extrinsic Motivation

The drive to perform or engage in an activity due to external rewards or pressures, rather than for the satisfaction the activity itself provides.