A manufacturing company prepares a box of 25 items for shipment, and a random sample of...

A manufacturing company prepares a box of 25 items for shipment, and a random sample of 3
items is selected and tested for defectives. If any defectives are found, the entire box is sent
back for 100% screening; if no defectives are found, the box is shipped.

What is the distribution of the number of defective items found in the random
sample? (I think it is NegBin)

What is the probability that a box containing 3 defectives will be shipped?

What is the probability that a box containing 1 defective will be sent back for
screening?

Expert Solution

SOLUTION:

please give a rating for this answer, THAMK YOU.

orchestra answered 1 year ago

A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement.

A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement. We accept the shipment if at most 3 items in the sample are defective. (a) Write down (but do not evaluate) an exact formula for the probability of acceptance. (b) Use a Table to give the decimal value for the binomial approximation of the probability of acceptance. Show your work. (c) Suppose instead that the shipment contains 500 items of...

1. A simple random sample of 25 items resulted in a sample mean of 28 and...

1. A simple random sample of 25 items resulted in a sample mean of 28 and a standard deviation of 7.5. Construct a 95% confidence interval for the population mean. Select one: A. 24.904 to 31.096 B. 25.905 to 32.096 C. 26.324 to 29.432 D. None of the above answers is correct 2. A simple random sample of 25 items resulted in a sample mean of 28 and a standard deviation of 7.5. Construct a 99% confidence interval for the...

A simple random sample of 25 items from a normally distributed population resulted in a sample...

A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 80 and a sample standard deviation of s=7.5. Construct a 95% confidence interval for the population mean.

A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box

A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box. Let X denotes the number of defective item in the sample. Find the probability distribution of X.

A random sample of 25 items is drawn from a population whose standard deviation is unknown....

A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean (x-bar) is 850. Construct a confidence interval with 95% confidence for the different values of s. Do not forget to use the t distribution in this case. a. Assume s = 15. b. Assume s = 30. c. Assume s = 60. d. Describe how the confidence interval changes as s increases.

Only 4% of items produced by a machine are defective. A random sample of 200 items...

Only 4% of items produced by a machine are defective. A random sample of 200 items is selected and checked for defects. a. Refer to Exhibit 7-1. What is the expected value for ? b. What is the probability that the sample proportion will be within +/-0.03 of the population proportion c.What is the probability that the sample proportion will be between 0.04 and 0.07?

A sample of 25 items provides a sample standard deviation of 6. (a) Compute the 90%...

A sample of 25 items provides a sample standard deviation of 6. (a) Compute the 90% confidence interval estimate of the population variance. (Round your answers to two decimal places.) ____ to ____ (b) Compute the 95% confidence interval estimate of the population variance. (Round your answers to two decimal places.) _____to _____ (c) Compute the 95% confidence interval estimate of the population standard deviation. (Round your answers to one decimal place.) _____to ____

A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced.

A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced. This is continued until all four defec- tive items have been selected. The total number of items selected is recorded.

A simple random sample of 70 items resulted in a sample mean of 60. The population...

A simple random sample of 70 items resulted in a sample mean of 60. The population standard deviation is σ = 15. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) _________ to _________ (b) Assume that the same sample mean was obtained from a sample of 140 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) _________ to _________ (c) What is the...

A simple random sample of 30 items resulted in a sample mean of25. The population...

A simple random sample of 30 items resulted in a sample mean of 25. The population standard deviation is 7 . Round your answers to two decimal places a. What is the standard error of the mean, ? b. At 95% confidence, what is the margin of error?

Question