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The level of nitrogen oxides in the exhaust of cars of a particular model varies normally with a mean of 0.2 grams per mile (g/mi) and a standard deviation of 0.05 g/mi. Government regulations call for nitrogen oxide emissions no higher than 0.4g/mi.
a)What is the probability that a single car of this model fails to meet the nitrogen emissions regulations
b) a company has 25 cars of this model. What is the probability that the mean nitrogen oxide emissions of these cars is above the 0.3g/mi limit?
Elucidate this data use an appropriate statistical test to explain whether the population mean TV "on" time has declined in the past decade.
You have two unbiased estimates, e 1 and e 2 , of a quantity with variances V 1 and V 2 respectively, and covariance Cov {e1,e 2 } = C. Form a new unbiased estimate:
In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of six students were given the exam before and after taking the course. The results are shown below:
Among the half that had surgery, 80% showed improvement after three months, but only 54% of those who used the wrist splints improved. what's the standard error of the difference in the two proportions?
Carbon monoxide (CO) emissions for a certain kind of car vary mean 2.4 g/mi and standard deviation 0.7g/mi. A company has 60 of these cars in its fleet. Let y represent the mean CO level for the companies fleet. Estimate the probability that y is ..
According to the survey, 37% of the adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that:
Over the 48 years from 1950 through 1997, the stock market has gone up in the month of January for 31 times; it has gone up for the whole year for 36 times, and it has gone up both for the year and in January for 29 times.
The probability that Pete will catch fish when he goes fishing is .8. Pete is going to fish three days next week. Define the random variable x to be the number of day Pete catches fish. (hint. binomial distribution)
If 700 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?
The number of bombardment necessary to achieve the disintegration of a certain nucleus is assumed to have the distribution above. In one sequence in which b bombardments are available, of these have already failed to disintegrate the nucleus. What..
What is the probability that there will be more than three trucks either being loaded or waiting?
Find the probability value of H0:u 2.8 distribution with 10 banks giving stats of 5.7, 4.8, 6.0, 4.9, 4.0, 3.4, 6.5, 7.1, 5.3, 6.1 which gives us H1:u 5.38.
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