Determine the number of subgroups needed to establish the central lines and control limits for X and moving R charts for a paper towel process that is controlled by 24 valves. How many times in succession can one of the valves be plotted?

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dewillis9380

01.10.2020

Mathematics

The question is incomplete, but the step-by-step procedures are given to solve the question.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of 1 - 0.005 = 0.995 , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575\frac{\sigma}{\sqrt{n}}$

The lower end of the interval is the sample mean subtracted by M.

The upper end of the interval is the sample mean added to M.

The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).

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Determine the number of subgroups needed to estab­lish the central lines and control limits for X and mov­ing R charts for a paper towel process that is controlled by 24 valves. How many times in succession can one of the valves be plotted?