Question

In: Statistics and Probability

Of the parts produced by a particular machine, 1% are defective. If a random sample of...

Of the parts produced by a particular machine, 1% are defective. If a random sample of 8 parts produced by this machine contains 2 or more defective parts, the machine is shut down for repairs. Find the probability that the machine will be shut down for repairs based on this sampling plan.

Solutions

Expert Solution


Related Solutions

Among 12 metal parts produced in a machine shop, 3 are defective. If a random sample...
Among 12 metal parts produced in a machine shop, 3 are defective. If a random sample of 5 of these metal parts is selected, find: (a) The probability that this sample will contain at least two defectives. (Do not round the intermediate answers. Round your answer to 4 decimal places.) (b) The probability that this sample will contain at most one defective. (Round your answer to 4 decimal places.)
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?
It is claim that the proportion of defective items produced by a particular machine is more...
It is claim that the proportion of defective items produced by a particular machine is more than 0.1 Letting π represents the proportion of defective items produced by a particular machine, set up the null and alternative hypotheses needed to provide evidence supporting the claim. By using the significance level of α = 0.05, show the rejection area for the test statistics. A random sample of 100 items is inspected and found to contain 15 defective items. Calculate the test...
A widget produced by a particular process has probability .1 of being defective. A test can...
A widget produced by a particular process has probability .1 of being defective. A test can be performed which has 99% accuracy. That is, if a defective widget is tested, the test will identify the widget as defective 99% of the time. And if a non-defective widget is tested, there is a 99% chance that the test will indicate that the widget is not defective. One widget is selected at random and is tested. If the test says that the...
Suppose a preliminary sample of 200 parts produced by a machine showed that 7% of them...
Suppose a preliminary sample of 200 parts produced by a machine showed that 7% of them are defective. How large a sample should the company select so that the 95% confidence interval for p is within .02 of the population proportion?
Question 9 of 21 In a random sample of 562 items produced by a machine, the...
Question 9 of 21 In a random sample of 562 items produced by a machine, the quality control staff found 6.6% to be defective. Based on this sample, the 95% confidence interval for the proportion of defective items in all items produced by this machine, rounded to four decimal places, is:     A. the lower endpoint is 0.0425, the upper endpoint is 0.0895     B. the lower endpoint is 0.0455, the upper endpoint is 0.0865     C. The lower endpoint...
(a) The probability of a defective item produced by a machine is 0.20. Find the probability...
(a) The probability of a defective item produced by a machine is 0.20. Find the probability that at least 3 of the 5 next items produced by a machine will be in this defective. (b) Analyze skewness of the following data with formula and diagram. 1,2,5,2,3,1,3,1.
A) Machine A produces an average of 10% of defective parts. Machine B produces on average...
A) Machine A produces an average of 10% of defective parts. Machine B produces on average twice as many defective parts as machine A. Machine C produces on average three times more defective parts than machine B. Here are 8 bags of parts from A, 2 bags of parts from B and 1 bag of coins from C. We randomly take a coin from one of the bags itself also taken at random. She is defective. 1. What is the...
A random sample of 350 bolts from machine A contained 35 defective bolts, while an independently...
A random sample of 350 bolts from machine A contained 35 defective bolts, while an independently chosen, random sample of 250 bolts from machine B contained 17 defective bolts. Let P1 be the proportion of the population of all bolts from machine A that are defective, and let P2 be the proportion of the population of all bolts from machine B that are defective. Find a 99% confidence interval for P1-P2. Then complete the table below. Carry your intermediate computations...
The percent defective for parts produced by a manufacturing process is targeted at 4%. The process...
The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking samples of sizes n = 160 units. Suppose that today’s sample contains 14 defectives. Determine a 88% confidence interval for the proportion defective for the process today. Place your LOWER limit, rounded to 3 decimal places, in the first blank. For example, 0.123 would be a legitimate answer. Place your UPPER limit, rounded to 3 decimal places, in the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT