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.

Solutions

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 1 year ago

Next > < Previous

Related Solutions

To determine if their 0.33 centimeter metal shafts are properly adjusted, Moore Inc. has decided to...

To determine if their 0.33 centimeter metal shafts are properly adjusted, Moore Inc. has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Period obs1 obs2 obs3 Sample Mean Sample Range 1 0.37 0.33 0.35 0.3500 0.04 2 0.38 0.35 0.34 0.3567 0.04 3 0.36 0.38 0.31 0.3500 0.07 4 0.33 0.32 0.37 0.3400 0.05 5 0.30 0.36 0.32 0.3267 0.06 6 0.32 0.32 0.31 0.3167 0.01 7 0.34 0.30 0.31 0.3167 0.04...

To determine if their 2.50 inch steel handles are properly adjusted, Kane Manufacturing has decided to...

To determine if their 2.50 inch steel handles are properly adjusted, Kane Manufacturing has decided to use an x‾x‾-Chart which uses the range to estimate the variability in the sample. Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places. Step 3 of 7: What is the Lower Control Limit? Round your answer...

To determine if their 3.00 centimeter industrial belts are properly adjusted, Hutcheson & Gregory Inc. has...

To determine if their 3.00 centimeter industrial belts are properly adjusted, Hutcheson & Gregory Inc. has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Table: Period obs1 obs2 obs3 obs4 obs5 obs6 Sample Mean Sample Range 1 3.04 3 2.99 3.04 2.97 3.05 3.015 0.08 2 3.01 3.01 2.98 2.97 3.01 3.04 3.0033 0.07 3 2.98 3.02 2.96 3 3.05 3.01 3.0033 0.09 4 3.02 2.98 3.04 2.96 3.04 2.98 3.0033 0.08...

To determine if their 2.00 inch washers are properly adjusted, Duncan & Hall Inc. has decided...

To determine if their 2.00 inch washers are properly adjusted, Duncan & Hall Inc. has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Table: Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range 1 1.96 2.05 1.97 1.97 2 1.99 0.09 2 2 2.05 1.95 2 2.05 2.01 0.1 3 2.04 1.96 1.96 1.97 1.96 1.978 0.08 4 1.97 2 1.98 1.99 1.99 1.986 0.03 5 1.97 2.05 1.98 2.04 2.05...

To determine if their 2.00 inch washers are properly adjusted, Duncan & Hall Inc. has decided...

To determine if their 14⁢oz filling machine is properly adjusted, Grover Soft Drinks has decided to...

To determine if their 14⁢oz filling machine is properly adjusted, Grover Soft Drinks has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range 1 13.95 13.98 13.98 13.96 13.97 13.9680 0.03 2 14.02 13.98 13.98 14.00 13.97 13.9900 0.05 3 13.96 13.95 14.01 13.97 13.97 13.9720 0.06 4 13.98 13.99 14.03 13.97 14.01 13.9960 0.06 5 14.04 13.96 14.00 14.02 14.03 14.0100 0.08...

The lavish carpet manufacturing co. has decided to acquire a new machine that has an economic...

The lavish carpet manufacturing co. has decided to acquire a new machine that has an economic life of 10 years, with no residual value. The machine can be purchased for $75,000 and the supplier is willing to advance $45,000 of the purchase price at 12 percent. The loan is to be repaid in equal instalments over 10 years. Lavish Carpet pays 40 percent corporate income tax and can claim 20 percent capital cost allowances on the purchased asset. It expects...

1) The lavish carpet manufacturing co. has decided to acquire a new machine that has an...

1) The lavish carpet manufacturing co. has decided to acquire a new machine that has an economic life of 10 years, with no residual value. The machine can be purchased for $75,000 and the supplier is willing to advance $45,000 of the purchase price at 12 percent. The loan is to be repaid in equal instalments over 10 years. Lavish Carpet pays 40 percent corporate income tax and can claim 20 percent capital cost allowances on the purchased asset. It...

Unicola has now decided that it wants to build a $500,000,000 manufacturing facility to produce the...

Unicola has now decided that it wants to build a $500,000,000 manufacturing facility to produce the packaging for a series of new soft drink and snack food lines. The company is doing this in order to save costs and maximize efficiencies in its quest for a better market presence in the Asia region. They are interested in potentially locating, building, and operating a single manufacturing facility in one of these foreign markets: Bangladesh, Hong Kong, India, Indonesia, Malaysia, Pakistan, Singapore,...

The Lavish Carpet Manufacturing Co. has decided acquire a new machine that has an economic life...

The Lavish Carpet Manufacturing Co. has decided acquire a new machine that has an economic life of 10 years, with no residual value. The machine can be purchased for $75,000, and the supplier is willing to advance $45,000 of the purchase price at 12 percent. The loan is to be repaid in equal instalments over 10 years. Lavish Carpet pays 40 percent corporate income tax and can claim 20 percent capital cost allowances on the purchased asset. It expects to...

Subjects