Question

In: Statistics and Probability

A supplier provides products in lots of size 10,000. A single-sampling plan with ? = 100...

A supplier provides products in lots of size 10,000. A single-sampling plan with ? = 100 and ? = 3 is used for receiving inspection. Please find the lot quality that will be rejected 88% of the time.

Solutions

Expert Solution

Answer:

Given that:

A supplier provides products in lots of size 10,000. A single-sampling plan with ? = 100 and ? = 3 is used for receiving inspection

We want to find the lot quality that will be rejected 88% of the time

Here single sampling plan is used

Probability of accepting a lot of quality p

Probability of rejecting a lot of quality p

1-Probability of rejecting a lot of quality p

of single sampling plan is

By using inverese probability of poisson distribution we get

Let's check if we put p = 0.06385 then we get or not

Hence

The lot quality that will reject 88% of the time


Related Solutions

A supplier provides products in lots of size 10,000. A single-sampling plan with ?=100 and ?=3...
A supplier provides products in lots of size 10,000. A single-sampling plan with ?=100 and ?=3 is used for receiving inspection. Please find the lot quality that will be rejected 88% of the time
1. Consider a single sampling plan with a lot size of 1500, sample size of 150,...
1. Consider a single sampling plan with a lot size of 1500, sample size of 150, and acceptance number of 3. Construct the OC curve. If AQL is 0.05% (0.0005) nonconforming, and the LQL is 6% nonconforming, describe the protection offered by the plan at these quality levels. 2. Same thing at sample size of 200. 3. Construct the Outgoing Quality Curve for #1. What is the AOQL? 4. Construct the ATI curve for #1. If the process average nonconformance...
Answer the following questions for a single sampling plan with sample size n = 80 and...
Answer the following questions for a single sampling plan with sample size n = 80 and c = 3 1. Draw the OC curve for the sampling plan, using the Poisson table distributed in class 2. If AQL = 2% and LTPD = 7%, what would be the producer's and consumer's risks associated with the sampling plan? 3. If the sampling plan is used to inspect a lot of 10,000 products with an average defective rate of 3%, what would...
A single-sampling plan has ? = 0.01, ? = 0.01, ?2 = 0.05, and ? =...
A single-sampling plan has ? = 0.01, ? = 0.01, ?2 = 0.05, and ? = 0.02. What should be the sample size ? and acceptance number ??
The following sampling plan has been established in a company. A sample of size 2 if...
The following sampling plan has been established in a company. A sample of size 2 if both items are good lot is accepted. Otherwise a second sample size 1 if that second sample item is good the otherwise the batch is rejected. a) Develop a probability tree diagram to list the possible outcomes of the first sample and the second sample. b) If the inspector receives a batch with 10% of damaged items, calculates the probability of accept that lot.
The following sampling plan has been established in a company. A size 2 sample is drawn...
The following sampling plan has been established in a company. A size 2 sample is drawn if both items are ok the lot is accepted. Otherwise a second sample of size 1 is taken if that item from the second sample is ok the lot is accepted otherwise the lot is rejected. [5] a) Develop a probability tree diagram to list the possible results of the first sample and the second sample. [15] b) If the inspector receives a batch...
Jim is a single dad who lives with and provides 100% of the financial support for...
Jim is a single dad who lives with and provides 100% of the financial support for his three children. Jim's children were 10, 14 and 19 as of the last day of 2015. Jim's Adjusted Gross Income (AGI) is $96,000 for the year 2015. How much Child Credit will Jim get on his 2015 tax return? A. 1050 B. 950 C. 2000 D. 850
Below is summary of meeting minutes during the design of Single Sampling Plan. Three people attended...
Below is summary of meeting minutes during the design of Single Sampling Plan. Three people attended this meeting. These are the supplier, consumer, and inspector. The consumer said that “if the fraction of the incoming shipment is less than or equal to 0.01, I will consider the shipment as a “GOOD SHIPMENT” After a long discussion, they agreed that the bad shipment is the shipment with probability of having nonconforming item greater than or equal 0.13. The supplier and consumers...
The City of Sweetwater maintains an Employees’ Retirement Fund, a single-employer defined benefit plan that provides...
The City of Sweetwater maintains an Employees’ Retirement Fund, a single-employer defined benefit plan that provides annuity and disability benefits. The fund is financed by actuarially determined contributions from the city’s General Fund and by contributions from employees. Administration of the retirement fund is handled by General Fund employees, and the retirement fund does not bear any administrative expenses. The Statement of Fiduciary Net Position for the Employees’ Retirement Fund as of July 1, 2019, is shown here: CITY OF...
A company makes two products in a single plant. It runs this plant for 100 hours...
A company makes two products in a single plant. It runs this plant for 100 hours each week. Each unit of product A that the company produces consumes two hours of plant capacity, earns the company a contribution of $1000, and causes, as undesirable side effects, the emission of 4 ounces of particulates. Each unit of product B that the company produces consumes one hour of capacity earns the company a contribution of $2000, and causes, as undesirable side effects,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT