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In a belt-and-pulley drive, the belt embraces the shorter pulley 165° and runs over it at a mean speed of 1700 m/min with a standard deviation of 51 m/min.
The density of the belt has a mean value of 1 g/ cm3 and a standard deviation of 0.05 g/cm3. The mean and standard deviations of the permissible stress in the belt are 25 and 2.5 kg/cm2, respectively. The coefficient of friction O) between the belt and the pulley is given by μ = 0.25 and σµ = 0.05.
Assuming a coefficient of variation of 0.02 for the belt dimensions, find the width and thickness of the belt to maximize the mean horsepower transmitted.
The minimum permissible values for the width and the thickness of the belt are 10.0 and 0.5 cm, respectively.
Assume that all the random variables follow normal distribution and the constraints have to be satisfied with a minimum probability of 0.95.
question a researcher randomly sampled 30 graduates of an mba program and recorded data concerning their starting
If a particle is dropped at time t = 0, physical theory indicates that the relationship between the distance traveled r and the time elapsed t is r = gtk for some positive constants g and k. A transformation to linearity can be obtained by taking l..
We say that two things have a positive relationship if they move in the same direction, or as one thing increases, so does the other. Or if one thing decreases, so does the other.
Mighty Manufacturing must decide on the processes to use to produce 1650 units. If machine 1 is used, its production will be between 300 and 1500 units. Machine 2 or machine 3 can be used only if machine 1's production is at least 1000 units. Ma..
The null hypotheseis it true? Sketch the density curve of the sampling distribution. Be sure to locate mean and standard deviationn correctly.
1. records show that the probability that it rains in our town on a single day is 0.35. if rain on different days
SAT verbal scores are normally distributed with a mean of 423 and a standard deviation of 91. Use the Empirical Rule to determine what percent of the scores lies between 423 and 514.
A cognitive psycholgist believes that a particular drug improves short-term memory. The drug is safe, with no side effects. An experiment is conducted in which 8 ramdomly selected subjects are given the drug and then given a short time to memorize..
Shirley runs a real estate company. She counts the total number of flats that she sells everyday. Let X_t be the total number of flats she sells on day t (t=1,2,...,7), and let X be the total number of flats she sells for the week.
They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
Company W is testing a sales software. Their salesforce of 500 people is divided into four regions: Northeast, Southeast, Central and West. Each sales person is expected to sell the same amount of products.
You are picking up apples from a tree in a park. You are interested in estimating the mean weight of all apples in the park. Unfortunately you have only been able to find seven apples so far. Can you use the Central Limit Theorem to aid in your es..
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