A manufacturer produces test tubes from two independent processes. Process 1 produces 10% defectives while Process...
A manufacturer produces test tubes from two independent processes. Process 1 produces
10% defectives while Process 2 produces 15% defectives. Random samples of size 100
are obtained from each process on a daily basis. What is the probability that the sample
from Process 1 has fewer defectives than the of Process 2?
Homework Answers
The number of defectives 
out of 100 from process 1 has Binomial distribution with 
. The normal approximation is 
The number of defectives 
out of 100 from process 2 has Binomial distribution with
. The normal approximation is 
Since
and
are independent, 
.
The required probability is
Add Answer to:
A manufacturer produces test tubes from two independent
processes. Process 1 produces
10% defectives while Process...
The following data gives the number of defectives in 5 independent samples from a production process....
The following data gives the number of defectives in 5 independent samples from a production process. The samples are of varying size. Draw appropriate chart and comment on the process Sample number Sample size Number of defectives 1 2000 400 2 1000 150 3 1000 120 4 600 80 5 400 50
A manufacturer produces a component for use in the automotive industry. It is known that 1%...
A manufacturer produces a component for use in the automotive industry. It is known that 1% of the items produced are defective. Suppose a random sample of 20 items is examined. (a) Find the probability that (i) no defectives are found in the sample, (ii) one or fewer defectives are found in the sample. (b) Find: (i) the mean (expected) number of defectives in the sample, (ii) the variance and standard deviation.
A manufacturer of computer memory chips produces chips in lots of 1000. If nothing has gone...
A manufacturer of computer memory chips produces chips in lots of 1000. If nothing has gone wrong in the manufacturing process, at most 7 chips each lot would be defective, but if something does go wrong, there could be far more defective chips. If something goes wrong with a given lot, they discard the entire lot. It would be prohibitively expensive to test every chip in every lot, so they want to make the decision of whether or not to...
1. Suppose a manufacturer has plants at two different locations. From the long-time observations, it is...
1. Suppose a manufacturer has plants at two different locations. From the long-time observations, it is known that approximately 5% and 8% defectives are produced at these two locations. Random samples of 300 items are selected from one week's production at each location. What is the likelihood that the sample proportions will differ by less than 1%.
2) A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing,...
2) A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows Process 1 Process 2 Production rate Daily production time Percent of parts rejected based on visual inspection 35 parts/hour 4 hours/day 20% 15 parts/hour 7 hours/day 9% Assume that the daily demand for hubs allows all defect-free hubs to be sold. Additionally, tested or rejected hubs cannot be sold Find the process that maximizes profit...
Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company...
Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes less manufacturing time, they selected independent random samples from each process. The results of the samples are shown below. Process 1 Process 2 Sample size, n 12 22 Sample mean (in minutes) 58 64 sample standard deviation, s 9 25 a. State the null and alternative hypotheses. b. Determine the degrees of freedom for the...
Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company...
Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes less manufacturing time, they selected independent random samples from each process. The results of the samples are shown below. Process 1 Process 2 Sample size, n 12 22 Sample mean (in minutes) 58 64 sample standard deviation, s 9 25 a. State the null and alternative hypotheses. b. Determine the degrees of freedom for the t...
Let ??1(??) and ??2(??) be two independent Poisson processes with rates ??1 = 1 and ??2...
Let ??1(??) and ??2(??) be two independent Poisson processes with rates ??1 = 1 and ??2 = 2, respectively. Find the probability that the second arrival in ??1(??) occurs before the third arrival in ??2(??). Hint: One way to solve this problem is to think of ??1(??) and ??2(??) as two processes obtained from splitting a Poisson process.
Summary is obtained from two independent Normal samples a). Test whether one can assume equal variances....
Summary is obtained from two independent Normal samples
a). Test whether one can assume equal variances.
b) With a suitable test procedure, test for equality of means
.
Sample1 20 28 8 Sample2 40 Sample size Sample mean Sample standard deviation 10
A machine need repair if it produces more than 10% defectives among large amount of products....
A machine need repair if it produces more than 10% defectives among large amount of products. We randomly sampled 100 items, and find that there are 8 defectives. We claim that, the repair of this machine is not needed. Note: You should use R code to express your results, and run R code on laptop. a) Assuming α = 0.01, apply large sample hypothesis testing to test whether or not the evidence suports this claim. b) Calculate the p-value. What...
1. Suppose a manufacturer has plants at two different locations. From the long-time observations, it is known that approximately 5% and 8% defectives are produced at these two locations. Random samples of 300 items are selected from one week's production at each location. What is the likelihood that the sample proportions will differ by less than 1%.
2) A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows Process 1 Process 2 Production rate Daily production time Percent of parts rejected based on visual inspection 35 parts/hour 4 hours/day 20% 15 parts/hour 7 hours/day 9% Assume that the daily demand for hubs allows all defect-free hubs to be sold. Additionally, tested or rejected hubs cannot be sold Find the process that maximizes profit...
Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes less manufacturing time, they selected independent random samples from each process. The results of the samples are shown below. Process 1 Process 2 Sample size, n 12 22 Sample mean (in minutes) 58 64 sample standard deviation, s 9 25 a. State the null and alternative hypotheses. b. Determine the degrees of freedom for the t...
Summary is obtained from two independent Normal samples
a). Test whether one can assume equal variances.
b) With a suitable test procedure, test for equality of means
.
Sample1 20 28 8 Sample2 40 Sample size Sample mean Sample standard deviation 10
Most questions answered within 3 hours.
-
A mass of 0.50 g of an unknown acid HA required 20.0 mL of 0.25
M...
asked 1 minute ago -
Mitch is a director and officer of Numero Uno, Inc. Mitch makes
a marketing decision that...
asked 2 minutes ago -
A pair of fair dice is tossed. Let X denote the larger of the
two numbers...
asked 10 minutes ago -
What are the variety of forms of products dispensed with aerosol
spray?
asked 14 minutes ago -
Which one of the following statements is true about C++
keywords?
a. A keyword can have...
asked 14 minutes ago -
Pyruvate Kinase, an allosteric enzyme, accelerates the
conversion of phosphoenolpyruvate to pyruvate.
1) Draw curves describing...
asked 16 minutes ago -
question 1
Which of the following is an example of a bottom-up technique
for developing promotional...
asked 34 minutes ago -
1)In FM modulation, what aspect of the carrier is being
modulated?
2)Explain in your own words,...
asked 30 minutes ago -
Andromeda Galaxy, M31, is considered a sister galaxy to Milky
Way galaxy. One similarirty is their...
asked 36 minutes ago -
How does temperature affect ADH during enzyme
kinetics?
asked 44 minutes ago -
A $1000 par value convertible bond has a conversion price of
$25. It is currently selling...
asked 52 minutes ago -
Write a java program that declares 10 element array (of type
integers), creates and initializes the...
asked 50 minutes ago