Two machines are currently in use in a process at the Dennis Kira Mfg. Co. The standards for this process are LSL = 450" and USL= 454". Machine One is currently producing with mean = 451" and standard deviation .0004". Machine Two is currently producing with mean .4515" and standard deviation .0003". Which machine has the higher capability index? Machine One has an index of 0.83 (round your response to two decimal places). Machine Two has an index of (round your response to two decimal places).

A process generating attribute data has an estimated sigma capability = 3.3. Assuming the process mean is shifted +/- 1.5 sigma from the target value, what is the estimated dpmo? Estimated dpmo = ____.

BlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)

Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were:                                                                                                                              Sample Sample Mean​ (in.) Range​ (in.) Sample Sample Mean​ (in.) Range​ (in.) 1 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given​ data, the x ​= enter your response here inches ​(round your response to four decimal​ places).   The control limits for the ​3-sigma ​ R-chart are ​(round all intermediate calculations to three decimal places before…

What is the meaning of x ̅ ~ N (50, 2)?   1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2   2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50   3. x is normally distributed with a mean of 50 and a standard deviation of 2   4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 399 minutes. For a sample of 81 patients, the mean time the drug stayed in the system was 401 minutes. Assume the standard deviation is known to be 21. Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.

50 motor generators are inspected per day from a stable process. The best estimate of the fraction of nonconforming is 0.076. Determine the centeral line and control limits. On a particular day, 5 nonconforming generators were discovered. Is this process in or out of control? For the information given in the problem, construct a np-chart

Design specifications require that a key dimension on a product measure 106 ± 12 units. A process being considered for producing this product has a standard deviation of five units. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. answer 0.8000 Suppose the process average shifts to 98. Calculate the new process capability. Note: Round your answer to 4 decimal places. ? What is the probability of defective output after the process shift? ?

A metal fabricator produces connecting rods with an outer diameter that has a 1± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.005 inches with a standard deviation of 0.003 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places. Process capability index

C:  Determine the UCL and LCL for a X−�− chart. Note: Round your answers to 3 decimal places. D:  Determine the UCL and LCL for R-chart. Note: Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places. E:  What comments can you make about the process? multiple choice Process is in statistical control Process is out of statistical control