A tomato farmer has been using an X-bar and R chart to control the yield per...

A tomato farmer has been using an X-bar and R chart to control the yield per plant on her highly-mechanized farm. The yield is table over time in both variability and location. The X-bar chart has a centerline value of 10.50 pounds and the upper control limit is 14.20 pounds.

Find the value of the lower control limit of the X-bar chart?
Find the value of the upper and lower one-sigma and two-sigma zones of the X-bar chart?
Find the estimate of the value of the standard deviation of the yield of the tomato plants if the sample size is six?
If it is known that the upper specification and lower specification limits of the tomato yield are, respectively, 8.5 and 15.5 pounds. Find all capability indices of the yield? Is the “tomato yield” process capable? Why?

Expert Solution

orchestra answered 1 year ago

Solve step-by-step the following: 1) X-bar and R control Chart Subgroup X1 X2 X3 X4 X-bar...

Solve step-by-step the following: 1) X-bar and R control Chart Subgroup X1 X2 X3 X4 X-bar R 1 1.2 1.1 1.1 2.3 2 3.2 1.3 1.3 3.3 3 1.3 1.4 1.3 1.1 4 3.2 1.1 3.3 2 5 2.1 3.2 2.4 2.3 6 3.1 3.1 3.2 3.3 7 3 1 2.2 2.1 8 2.3 1.3 3.1 2.4 9 4 3.3 4 4.3 10 1.2 3.1 1.3 1.3 11 2.2 1.4 1.1 3 12 3.2 2.3 3.1 1.2 13 1.1 3...

Given the data provided below, calculate the control limits (X-bar and r-chart, Capability Index, create a...

Given the data provided below, calculate the control limits (X-bar and r-chart, Capability Index, create a control chart, and calculate the percentage of units that are expected to be out of spec (z-value). Please show all work for how all calculations were computed. Filling Line Checks - ounces Specification: 12 ounces min; max - 15 ounces Sample Sample Times Number 1pm 2pm 3pm 4pm 5pm 6pm 7pm 8pm 1 12.5 12.4 12.4 12.8 13 12.8 12.8 13 2 12.4 12.4...

For following data: a. Construct an R-chart for this process. b. Construct an X-bar chart for...

For following data: a. Construct an R-chart for this process. b. Construct an X-bar chart for this process. c. Does the process appear to be in control? Why or why not? d. Why must the R chart be read before the x-chart? Hour Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample 8 1 98.2706 98.82376 101.8175 100.1819 102.9594 101.165 95.25957 98.97423 2 100.7166 101.8866 98.56813 98.77126 101.8273 98.20298 101.6975 99.63706 3 98.9922...

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what is the type 1 error of an x bar chart with 1 - sigma control limits? what is the type 1 error of an x bar chart with 2 - sigma control limits? what is the type 1 error of an x bar chart with 3 - sigma control limits? what is the type 1 error of an x bar chart with 4 - sigma control limits?

A farmer wishes to test the effects of a new fertilizer on her tomato yield. She...

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Solve step-by-step: X-bar and S control Chart Subgroup X1 X2 X3 X4 X-bar S 1 1.2...

Solve step-by-step: X-bar and S control Chart Subgroup X1 X2 X3 X4 X-bar S 1 1.2 1.3 1.2 2.2 2 3.3 1.2 1.2 3.2 3 1.2 1.3 1 1.3 4 3.4 1.2 3.1 2.1 5 2.3 3.3 2.2 2.3 6 3.1 3.3 3 3.1 7 3.1 1.2 2.1 2.4 8 2.4 1.4 3 2.4 9 4.1 4.2 4.1 4.2 10 1.3 3 1.3 1.3 11 2.3 1 1.4 3.3 12 3.3 2.4 3.3 1.1 13 1.4 3.4 1.3 3.2 14...

7. A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She...

7. A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She lays out seven plots and in each plot plants two tomato plants. One plant is given the new fertilizer and the other is given the fertilizer the farmer is currently using. The table below has the yield (in pounds). Plot 1 2 3 4 5 6 7 New 5.3 6.1 5.7 8.4 3.7 9.4 9.2 Old 4.9 5.9 6.0 6.9 2.8 8.2 7.2 Make...

Mendelian Genetics In tomato plants, the gene R has two alleles that control fruit color: the...

Mendelian Genetics In tomato plants, the gene R has two alleles that control fruit color: the R allele is dominant and produces red tomatoes; the r allele is recessive, and when homozygous produces yellow tomatoes. Gene T controls plant height: the T allele is dominant and produces tall plants; the t allele is recessive and when homozygous produces dwarf plants. Genes R and T undergo independent assortment. A. Parental tomato plants of genotype RRTT and rrtt are crossed. What genotype...

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What are the advantages and disadvantages of using a bar chart, a pie chart, a doughnut chart, and a Pareto chart?

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