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The requirements for a machine call for a reliability of 0.9 at 10,000 operating hours. It is known that the time-to-failure follows a Weibull distribution with β= 2.
a) What should be the median time to failure of the Weibull distribution to meet the reliability requirement?
b) Suppose this reliability cannot be met, and the actual median is 20,000. So the company instead implements a preventive maintenance policy with a maintenance cycle of 4,000 hours. What is the new reliability at 10,000 hours?
An increasing number of consumers believe that they have to look out for themselves in the marketplace. According to a survey conducted y the Yankelovich Partners for USA Weekend magazine, 60% of all consumers have called an 800 or 900 telephone n..
A scooter factory runs three assembly lines, A, B, and C. 98.9% of line A's scooters pass inspection, while only 97.8% of line B's scooters and 98.5% of line C's scooters pass inspection.
he two leading United State manufacturers of high performance radial tires must set their advertising strategies for coming year. Each company has two strategies available:
If the university wants only the top 75% of the students to be eligible to apply, what should be the minimum GMAT score specified for eligibility?
One airport had 28% late arrivals. After a new directing system was installed, a sample of 1200 flights had 322 late arrivals. At the .01 level, did the new system lower the rate of late arrivals? List the null and alternate hypotheses.
The time it takes a symphony orchestra to play beethovens ninth symphony has a normal distribution with a mean of 64.3 minutes and a standard deviation of 1.15 minutes. If an orchestra plays it so slowly that 80% of the orchestras play faster than..
A finite lot of 40 digital watches includes 30% nonconforming units. Using the hypergeometric distribution, what is the probability that a sample of 6 will contain 3 nonconforming watches? Show your work.
If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy?
In a Gallop poll of 1012 randomly selected adults, 9% said that cloning of humans should be allowed. We are going to use a .05 significance level to test the claim that less than 10% of all adults say that cloning of humans should be allowed. The ..
A poll by Louis Harris and Associates of 1249 adult Americans indicated that 36% believe in ghosts and 37% believe in astrology. Can you compare the proportions using inferential methods for independent binomial samples? If yes, do so. If not, exp..
Construct a 90% confidence interval for the population average weight of the candies.
A famous hypnotist performs to a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one half of the students and two third on the non-students are hypnotizable.
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