An Automatic Filling Process Is Used to Dispense Hand Sanitizer

question 9

Essay

An automatic filling process is used to dispense hand sanitizer into small purse size bottles. The target weight is 75 ml. The company has initiated control charting to stabilize and improve the automatic filling process. For each of twenty-five samples consisting of four bottles, the contents were measured and the mean weight and range were determined. The average of the means across all samples was found to be 72.5 ml. and the average range was 2.75 ml.
a. Estimate the process standard deviation.
b. Calculate the centreline and control limits for the R chart.
c. Calculate the centreline and control limits for the x-bar chart.

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Definitions:

In The Money

A term used in options trading to describe a situation where an option has intrinsic value, indicating a favorable position.

Employee Stock Option (ESO)

A benefit given to employees which grants them the right to purchase shares of the company at a specified price after a certain period.

Call Options

Financial contracts giving the option buyer the right, but not the obligation, to buy a stock, bond, commodity, or other assets at a specified price within a specific time period.

European Options

Financial derivatives that give the holder the right, but not the obligation, to buy or sell an asset at a specified price only on the option's expiration date.