A process has an in-control fraction nonconforming of p = 0.02. a) What sample size would...

A process has an in-control fraction nonconforming of p = 0.02.

a) What sample size would be required for the fraction nonconforming control chart if it is desired to have a probability of a least one nonconforming unit in the sample to be at least 0.9?

b) Now assume n = 200. Establish a control chart for the fraction nonconforming.

Expert Solution

A process has a in-control fraction nonconfirming of p=0.02

We have to determine sample size i.e n for a least one nonconfirming unit in the sample to be at least 0.9

Such that,

Pr(D>=1)>=0.9 or

Pr(D=0)=0.1

orchestra answered 1 year ago

A process using a p-chart with L=3 has an in-control fraction defective of p=0.01. Sample size...

A process using a p-chart with L=3 has an in-control fraction defective of p=0.01. Sample size is 300. What is the probability of detecting a shift to an out-of-control value of p=0.05 for the first time on the second sample following the shift?

For a fraction nonconforming of p = 0.05, which type of plan would give you the...

For a fraction nonconforming of p = 0.05, which type of plan would give you the lowest ASN? a. Single Sampling Plans b. Double Sampling Plans c. Sequential Sampling Plans d. Simple Random Sampling Plans

Use the data in the following table to create a fraction nonconforming (p) chart. The column...

Use the data in the following table to create a fraction nonconforming (p) chart. The column of np represents the number of non-conforming units. Is the process in control? (5 points) Sample n np p 1 100 7 0.07 2 100 10 0.10 3 100 12 0.12 4 100 4 0.04 5 100 9 0.09 6 100 11 0.11 7 100 10 0.10 8 100 18 0.18 9 100 13 0.13 10 100 21 0.21 Question 2 A bank's manager...

A process is in statistical control with and The control chart uses a sample size of n...

A process is in statistical control with and The control chart uses a sample size of n = 3. Specifications are at 42 ± 4. The quality characteristic is normally distributed. What conditions should we check to ensure that conclusions from a capability analysis are correct? Estimate the potential capability of the process. Estimate the actual capability of the process. How much improvement in ppm could be made in process performance if the mean could be centered at the nominal value?

1. Utilizing the sample size chart, what would be the minimum sample size for the following...

1. Utilizing the sample size chart, what would be the minimum sample size for the following situations? a. one sample test ES = .8,*a = .05/2, 1- B = .90 b. two sample test (independent) ES = .8, *a = .01, 1- B = .80 c. two sample test (independent) ES = .2, *a = .05/2, 1- B = .95 d. one sample test ES = .5, *a = .01, 1- B = .80 e. two sample test ES =...

Below, n is the sample size, p is the population proportion, and p is the sample...

Below, n is the sample size, p is the population proportion, and p is the sample proportion. Use the Central Limit Theorem and the Cumulative normal distribution table yo find the probability. Round your answer to at least four decimal places. n=200 p=0.10 P(0.12 < p < 0.16)=?

Below, n is the sample size, p is the population proportion and p is the sample...

Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the Central Limit Theorem and the TI-84 calculator to find the probability. Round the answer to at least four decimal places. =n111 =p0.54

H0: p=0.9 Ha: p≠0.9 1) We know that the sample size is 1,429. For what sample...

H0: p=0.9 Ha: p≠0.9 1) We know that the sample size is 1,429. For what sample proportion would the p-value be equal to 0.01? Assume that all conditions necessary for inference are satisfied. 2) 400 students were randomly sampled from a large university, and 239 said they did not get enough sleep. Conduct a hypothesis test to check whether this represents a statistically significant difference from 50%, and use a significance level of 0.01. 3) Given the same situation above...

What is the probability of finding three or fewer nonconforming items in a sample of 5...

What is the probability of finding three or fewer nonconforming items in a sample of 5 items from a lot that has 50 total items and ten of them are known to be nonconforming? When using the Hypergeometric distribution to solve I get 0.9959 as opposed to the binomial distribution which gets me a result of 0.9933. Which would be the correct formula to use and why?

Assuming that P equals .60 and the sample size is 1,000, what is the probability of...

Assuming that P equals .60 and the sample size is 1,000, what is the probability of observing a sample proportion that is at least .64.

Question