Here are a couple of examples from production, where you need to determine n. Ca

Question

Here are a couple of examples from production, where you need to determine n. Can you describe how these fit into the confidence interval scenario?

1) My husband was sent to a Head & Shoulders plant in China, because the amount of biocide was out of spec, and bacteria was growing in the shampoo. He found that the machines of the production line had to be calibrated very frequently, in order to maintain the specified range of allowable biocide in the shampoo (too little and you grow bacteria, too much and you damage the scalp).

2) ThermaCare heat wraps must have a temp between 103F and 105F. Imagine you are working QA for a ThermaCare production line, and you test the temperature of hear wraps to make sure they are in spec.

Explanation / Answer

(2)  

The temperature of the thermacare heat wraps lie between 103F and 105F

The interval ( 103F , 105F ) contains the true value of the parameter .

The true value of the parameter is the temperature of the thermacare heat wraps.

We associate a certain confidence with the given interval.

For example . Let us say that we say with a 95% confidence that the interval ( 103F , 105F ) contains the actual value of the temperature.

Thus 95 / 100 times when the temperature would be taken , it would lie in the specified interval.

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