Question
A manufacturer turns out a product item that is labeled either “defective” or “not defective”. In...
A manufacturer turns out a product item that is labeled either “defective” or “not defective”. In order to estimate the proportion defective, a random sample of 100 items is taken from production, and 10 are found to be defective. Following implementation of a quality improvement program, the experiment is conducted again. A new sample of 100 is taken, and this time only 6 are found to be defective.
(1) Give a 95% confidence interval on p1 − p2, where p1 is the population proportion defective before improvement and p2 is the proportion defective after improvement. Is there information in the confidence interval found in (a) that would suggest that p1 > p2?
(2) Find the 98% confidence interval for p1 using method 1.
(3) Find the 96% confidence interval for p2 using method 2
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
A manufacturer turns out a product item that is labeled either defective or not defective. (a)...
A manufacturer turns out a product item that is labeled either
defective or not defective.
(a) If the manufacturer wants to estimate the percentage of
defective products procduced with 99% confidence to within 0.03 of
the true value, what sample size should they take?
(b) A random sample of 500 items is taken from production, and
30 are found to be defective, in a random sample of 500 from a new
production method 20 are found to be defective. Construct...
LCD screen manufacturer tests a random sample of 500 screens and finds 32 defective units. a)...
LCD screen manufacturer tests a random sample of 500 screens and
finds 32 defective units.
a) (7 pts) Find a 98% confidence interval to estimate the
proportion of defective units and indicate the margin of error for
your estimate.
b) (5 pts) What should be the size of the sample to obtain a
maximum margin of error of 0.02, with a confidence level of
98%?
c) (5 pts) Assume that the sample is taken from a batch of 4000
LCD...
A manufacturer wants to estimate the proportion of defective items in production.18 out of 8,000 randomly...
A manufacturer wants to estimate the proportion of defective
items in production.18 out of 8,000 randomly sampled items are
found to be defective.
a) Establish a 99% confidence interval for the proportion of
defective items.
b) If we had constructed a confidence interval for the
proportion of non-defective items from of the same data, would we
have obtained a greater margin of error?
c) A proportion of defective items of 3/1000 is considered
acceptable. Are we sure of meet the...
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are...
A quality-conscious disk manufacturer wishes to know the
fraction of disks his company makes which are defective.
Step 1 of 2:
Suppose a sample of 999999 floppy disks is drawn. Of these
disks, 5959 were defective. Using the data, estimate the proportion
of disks which are defective. Enter your answer as a fraction or a
decimal number rounded to three decimal places.
A quality-conscious disk manufacturer wishes to know the
fraction of disks his company makes which are defective.
A...
A manufacturer produces intraocular lenses. A sample of 300 lenses is obtained which contain 7 defective...
A manufacturer produces intraocular lenses. A sample of 300 lenses is obtained which contain 7 defective ones from a polishing machine
a. Find the confidence interval for the defective fraction of the polisher with 95% confidence.
b.Determine the sample size so that with 95% confidence we have an error in estimating the proportion of 0.016
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are...
A quality-conscious disk manufacturer wishes to know the
fraction of disks his company makes which are defective.
Step 1 of 2:
Suppose a sample of 4447 floppy disks is drawn. Of these disks,
311 were defective. Using the data, estimate the proportion of
disks which are defective. Enter your answer as a fraction or a
decimal number rounded to three decimal places.
Step 2 of 2:
Suppose a sample of 4447 floppy disks is drawn. Of these disks,
311 were...
2.0537 An automobile manufacturer would like to know what proportion of its customers are not satisfied...
2.0537
An automobile manufacturer would like to know what proportion of
its customers are not satisfied with the service provided by the
local dealer. The customer relations department will survey a
random sample of customers and compute a 96% confidence interval
for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about
0.29. Find the sample size needed if the margin of the error of the
confidence interval is to be about 0.01. (You...
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are...
A quality-conscious disk manufacturer wishes to know the
fraction of disks his company makes which are defective. Step 2 of
2 : Suppose a sample of 338 floppy disks is drawn. Of these disks,
318 were not defective. Using the data, construct the 85%
confidence interval for the population proportion of disks which
are defective. Round your answers to three decimal places.
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are...
A quality-conscious disk manufacturer wishes to know the
fraction of disks his company makes which are defective. Step 2 of
2: Suppose a sample of 195 floppy disks is drawn. Of these disks,
11 were defective. Using the data, construct the 80% confidence
interval for the population proportion of disks which are
defective. Round your answers to three decimal places.
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are...
A quality-conscious disk manufacturer wishes to know the
fraction of disks his company makes which are defective.
Step 2 of 2 :
Suppose a sample of 10871087 floppy disks is drawn. Of these
disks, 108 were defective. Using the data, construct the 95%
confidence interval for the population proportion of disks which
are defective. Round your answers to three decimal places.
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 8 minutes ago
asked 11 minutes ago
asked 27 minutes ago
asked 41 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago