C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 5 ± 0.006 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 5.001 inches with a standard deviation of 0.005 inch. Calculate the Cpk for this machine. (Round your answer to 3 decimal places.)

Sam’s Long Life 60-watt light bulbs are designed to have a life of 1,350 hours with tolerance of ± 340 hours. A recent representative sample from the process that makes these light bulbs revealed a mean of 1,290 hours, with a standard deviation of 94 hours. Compute a. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process b. Explain to what extent the process for producing Sam’s Long Life 60-watt light bulbs would have to be improved to achieve 4-sigma quality. c. show detail work

A quality analyst has examined 20 hotels around the state and found that 120 customers in total have complaints about the various hotel services. Find the UCL and LCL by using 3-sigma (z = 3). Hint: number of complaints is a counting type attributes data and the sample size (the total number of total customers served) is not known. UCL=-1.35, LCL=13.35 UCL=13.35, LCL= 0 UCL = 13.35, LCL = -1.35 Cannot be calculated O UCL = 0, LCL = 13.35

Lower Range, Sample Size, n Mean Factor, Upper Range, DA A2 D3 2 1.880 3.268 3 1.023 2.574 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004 7 0.419 1.924 0.076 8 0.373 1.864 0.136 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284

A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension   Sample Air vent opening diameter (in mm             1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61       Determine the central line and control limits for the range and mean charts, and discuss whether or not  the process is in statistical control.

K The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School A 4 C E No. of Test Errors 48 21 32 40 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: UCL = errors (round your response to two decimal places).

Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits (i.e., z = 3) to monitor the variability of products, what would be the upper control limit for this R chart? Sample 1 Sample 2 Sample 3 Pack 1 452.3 451.6 448.6 Sample 4 454.7 Sample 5 448.9 7.614 9.328 11.653 13.427 Pack 2 452.8 451.2 455.6 451.7 453.4 Pack 3 456 454.6 456.5 451 456.7 Pack 4 457.2 455.3 451.9 452.6 456.3 Pack 5 457.8 452.2 455.6 454.7 452.4 Pack 6 451.8 451.9 448.3 458.4 456

6-9. A process that produces computer chips has a mean of .04 defective chip and a standard deviation of .003 chip. The allowable variation is from .03 to .05 defective. (a) Compute the capability index for the process (b) Is the process capable?

An e-commerce website has received some complaints on Billing errors. Managers ask the accounting department to monitor the shipping process and make sure of the quality in their process. To monitor the process, for 10 consecutive weeks, they look into the first 100 shipments and count the number of Billing errors as shown in table below: 45 52 6 3 63 7 8 9 10 1 6 1 2 Construct a two-sigma limit control chart to show whether the shipping process in this e-commerce firm needs any improvement or performs at an acceptable level. (Round your answer to three decimal places.) Week 1 2 3 Number of Billing errors. 5 1 3 Upper Control Limit Lower Control Limit

Can someone please explain how to find upper and lower limits using Excel? I am trying to answer this question:  The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84 Sample size is given to be 4.a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = ____units (round your response to two decimal places).