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Rivets used to secure the stainless steel sheet metal of aircraft wings are designed to withstand certain shearing forces. It is knownthat because of random variations in location the load on a rivet is Weibull distributed with a scale parameter of 750 pounds and a shape parameter of 3.0. The strength of the rivetsin pounds is also random because of variations in the material characteristics and the dimensional tolerances. It has been found that the strength is also Weibull distributed with the same shape parameter but with a scale parameter of 1000 pounds.
Let x denote the load on a given rivet and let y denote the strength of that rivet. The rivet will not fail if x is less than y.The Reliability may therefore be expressed as P[X]
In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had ..
Setup Null and Alternate hypotheses to test if average amount of soda in each can is less than 32 oz. Please test the hypothesis using a = 0.05.
Do these simulated data provide evidence for us to conclude that a difference in the spinal canal cross sectional area exist between the population of subjects with disc hernination and a population of those who do not have disc hernation?
A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
Use population distribution to determine expected juror frequencies. Test researcher's claim at a = 0.01.
A firm engaged in manufacturing undergarments for gents employs 100 male and 144 female workers. The average production per day of a male worker is 60 items with a variance of 15 items, and that of a female workers is 65 items with a variance of 1..
Stratum 2 contains 500 invoices, stratum 1,000 invoices, and stratum 4 contains 3,450 invoices. A sample of 500 sales invoices is needed. What type of sampling should you do? Why?
A hypothesis states a difference exists between two populations. Sometimes this is an obvious conclusion because the means will be very different.
Suppose that on a 100-point test, the goal is for the students' exam scores to have a standard deviation of less than 10 pts. A recent sample of 22 exams has a standard deviation of 12.1. Use alpha = 0.05.
The formula C=5/9 (F-32) , where F is equal to or more than -459.6, represents Celsius temperature C as a function of Fahrenheit temperature F.
The mean weight of 500 students is 151 lbs and the standard deviation is 15 lbs. Assuming the weights are normally distributed, find out how many students weigh between 120 and 155 lbs.
A recent article in the Wall Street Journal reported that the 30-year mortgage rate is now less than 6 percent. A sample of eight small banks in the Midwest revealed the following 30- year rates (in percent):
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