Concept explainers
a)
To determine: The fraction defective in each sample.
Introduction: Quality is a measure of excellence or a state of being free from deficiencies, defects and important variations. It is obtained by consistent and strict commitment to certain standards to attain uniformity of a product to satisfy consumers’ requirement.
b)
To determine: The estimation for fraction defective when true fraction defective for the process is unknown.
Introduction: Quality is a measure of excellence or a state of being free from deficiencies, defects and important variations. It is obtained by consistent and strict commitment to certain standards to attain uniformity of a product to satisfy consumers’ requirement.
c)
To determine: The estimate of mean and standard deviation of the sampling distribution of fraction defective for samples for the size.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.
d)
To determine: The control limits that would give an alpha risk of 0.03 for the process.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.
e)
To determine: The alpha risks that control limits 0.47 and 0.003 will provide.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.
f)
To determine: Whether the process is in control when using 0.047 and 0.003.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has an upper control limit, and lower control which are used plot the time order.
g)
To determine: The mean and standard deviation of the sampling distribution.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.
h)
To construct: A control chart using two sigma control limits and check whether the process is in control.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.
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OPERATIONS MANAGEMENT CNCT W/EBK
- Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCL-4.86, LCL- = 4.52, UCLR=1.344, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Based on the x-chart, is one or more samples beyond the control limits? Sample 1 2 3 4 5 Yes No Loaf # 1 4.8 4.4 4.5 4.6 5.0 Net Weight Loaf # 2 4.7 4.8 4.5 4.9 4.8 Loaf # 3 5.0 4.7 4.9 4.7 4.7 Loaf # 4 4.7 4.8 4.6 4.5 4.6arrow_forwardC-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 3 ± 0.005 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 3.004 inches with a standard deviation of 0.004 inch. a. Calculate the Cpk for this machine. (Round your answer to 3 decimal places.) Cpkarrow_forwardA researcher wishes to estimate the proportion of fish in a certain lake that is inedible due to pollution of the lake. How large a sample should be tested in order to be 99% confident that the true proportion of inedible fish is estimated to within 8%?arrow_forward
- Distinguish between a sampling error and a nonsampling error.How can each be reduced?arrow_forwardC-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.0004 inch. a. Calculate the Cpk for this machine. (Round your answer to 3 decimal places.) Cpk b. Should C-Spec use this machine to produce this part? O Yes O Noarrow_forwardA process filling small bottles with baby formula has a target of 3ounces ± 0.150 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.042 ounces. The standard deviation of the amounts was 0.034 ounce. Determine the value of Cpk. Roughly what proportion of bottles meet the specifications? The process capability index (Cpk) is ?? enter your response here (round your response to three decimal places).▼ Slightly more than 80 , 99.99, 99.73, 9095.45 ?? %of the bottles meet the specifications. Which of the number above is slightly more than?arrow_forward
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