Question

In: Math

A random sample of 400 electronic components manufactured by a certain process are tested, and 30...

A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective.

a) Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places.

b) How many components must be sampled so that the 95% confidence interval will specify the proportion defective to within ±0.02? Round up the answer to the nearest integer.

c) The company ships the components in lots of 200. Lots containing more than 20 defective components may be returned. Find a 95% confidence interval for the proportion of lots that will be returned. Use the normal approximation to compute this proportion. Round the answers to four decimal places.

Solutions

Expert Solution

milcah answered 5 months ago
Next > < Previous

Related Solutions

A random sample of 300 electronic components manufactured by a new machine is tested and 9...
A random sample of 300 electronic components manufactured by a new machine is tested and 9 are found to be defective. The parts using the old machine have a true defective proportion of four percent. Does this sample provide evidence that the true defective proportion for the new machine is less than the old machine’s at the 5% significance level? Justify using a hypothesis test! Be sure to state you Ho and Ha, your test statistic and p-value, your decision...
5) In a simple random sample of 59 electronic components produced by a certain method, the...
5) In a simple random sample of 59 electronic components produced by a certain method, the mean lifetime was 1,114 hours. Assume the component lifetimes are normally distributed with population standard deviation 55 hours. What is the upper bound of the 95% confidence interval for the mean lifetime of the components? Round to nearest integer. 6) Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to...
A certain drug was tested for it's effectiveness with insomnia. In a random sample of 18...
A certain drug was tested for it's effectiveness with insomnia. In a random sample of 18 adults treated with the drug for insomnia, the standard deviation of awake time was 42.3 minutes. Assume the sample comes from a population that is normally distributed. Find a 98% confidence interval for the population standard deviation of awake times for all adults who are treated with the drug. Sketch a curve and shade the appropriate region with notation. Show all work using proper...
(R code needed) Lifetimes of electronic components manufactured by an electronic company are assumed to follow...
(R code needed) Lifetimes of electronic components manufactured by an electronic company are assumed to follow an Exp(λ) distribution with mean 1/λ. A random sample of 30 lifetimes in years was obtained and shown below: 5.1888 3.6757 4.5091 7.1320 1.3711 1.6454 2.1979 3.8805 0.5290 2.3796 3.2840 3.6678 0.6836 7.9914 12.9922 2.6192 0.3593 5.0234 0.2240 7.5862 0.1172 0.0618 2.6203 16.2319 17.2107 0.8101 8.9368 2.0752 0.9925 1.0187 The data can also be found in life2018.csv. (a) Find the moment estimate of λ....
In a manufacturing process a random sample of 36 bolts manufactured has a mean length of...
In a manufacturing process a random sample of 36 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. What is the 99% confidence interval for the true mean length of the bolt?
In a simple random sample of 70 automobile dealers registered in a certain state, 30 of...
In a simple random sample of 70 automobile dealers registered in a certain state, 30 of them were found to have emission levels that exceeded a state standard. At the 95% confidence interval, the proportion of automobiles whose emissions exceeded the state standard is closest to?
In a simple random sample of 70 automobile dealers registered in a certain state, 30 of...
In a simple random sample of 70 automobile dealers registered in a certain state, 30 of them were found to have emission levels that exceeded a state standard. At the 95% confidence interval, the proportion of automobiles whose emissions exceeded the state standard is closest to
A manufacturer of electronic components is interested in determining the lifetime of a certain type of...
A manufacturer of electronic components is interested in determining the lifetime of a certain type of battery. A sample, in hours of life, is as follows 123, 116, 122, 110, 175, 126, 125, 111, 118, 117. Calculate:  Sample Mean, Sample Median, 20% trimmed Mean, Quartiles: Q1, Q2 and Q3  Interquartile range: IQR = Q3 –Q1 , Lower bound = Q1 - 1.5(Q3 - Q1), Upper bound = Q3 + 1.5(Q3 - Q1).  Maximum, Minimum, Range = Max...
To test Ho: ? = 400 versus H1: ? > 400, a simple random sample of...
To test Ho: ? = 400 versus H1: ? > 400, a simple random sample of n = 100 is obtained. Assume the population standard deviation is 80. If the researcher decides to test this hypothesis at the ?? = .05 level of significance, compute the probability of making a Type II Error if the true population mean is 420. What is the power of the test?
A random sample of 400 men and 400 women was randomly selected and asked whether they...
A random sample of 400 men and 400 women was randomly selected and asked whether they planned to attend a concert in the next month. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion of men who plan to attend a concert in the next month is the same as the proportion of women who plan to attend a concert in the next month. Use α = 0.04. men women plan...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT