Question

In: Statistics and Probability

To determine if their 2.33 centimeter castings are properly adjusted, Thompson & Thompson Manufacturing has decided...

To determine if their 2.33 centimeter castings are properly adjusted, Thompson & Thompson Manufacturing has decided to use an x‾ Chart which uses the range to estimate the variability in the sample. What is the Lower Control Limit? Round your answer to three decimal places.

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Expert Solution

As no data is provided in the question, I shall just give you a brief introduction on how calculate the control limits.

Formulas used in X bar R Control Chart:

1. Upper Control Limit:

2. Lower Control Limit:

3. Calculation of A2:

If your sample size is 1, 2, 3, 4, .... use the respective value of A2 from the chart...

Suppose the sizes of the castings given... Divide it into different samples and each sample can have 3, 4, 5 ... pieces. Make a total subgroup of say 25 to 30.

Calculate the means of all the subgroups.... that means there will be 25 to 30 means (sample means) and then for each subgroup determine the range.

Range = Maximum Size - Minimum Size

In total there will be 25 to 30 Ranges based on the total number of subgroups that you have taken in total.

Later on find the average of all the means which will be the Grand Mean and also find the average of all the ranges which will be the Mean Range. Substitute these values with the respective value of A2 and then calculate the LCL and the UCL.

If total pieces of casting in a subgroup is 3, then A2 will be 1.023. If total pieces of casting in a subgroup is 4, then A2 will be 0.729... If 5 then 0.577... and so on.

Kindly provide information regarding the total number of sample taken with its measured sizes, so that I can show you the calculation properly. The data provided above is not sufficient to answer the question...

End of the Solution...

orchestra answered 2 years ago
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