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Public Policy and Political Science
California law requires fuel outlets to install special catch basins designed to contain gasoline leaks in underground storage tanks. Owners who do not comply can face stiff fines and other penalties. Independent random samples of gasoline stations around Los Angeles and around San Francisco were obtained, and each station was inspected for catch basins. Sixteen of 140 stations near Los Angeles had no catch basins, and 12 of 126 in San Francisco were not complying with the law.
a. Find the sample proportion of stations without catch basins near each city. Verify the nonskewness criterion.
b. Is there any evidence that the population proportion of stations in noncompliance with the law is different near Los Angeles and near San Francisco? Use a = 0.01.
Refer to given Exercise. In each part, specify the standard deviation of the sampling distribution of the difference in sample proportions.
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11% of all books sold are romance genre. If the bookstore sells 316 books on a given day, what is the probability that fewer than 40 are romances, at least 25 are romances, between 25 and 40 are romances?
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Consider that measurement 2 (M2) in random sample of 1000 controls from the Disease Y study population follows the normal distribution.
A random sample of 49 employees took a computer literacy test. The sample resulted in a mean score of 75 with a standard deviation of 21. Estimate the standard error of the mean.
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We consider the loss system M/G/2/2. Suppose that the service times have independent exponential distributions with parameter Θ, where Θ is a random variable such that
A surgical technique is performed on ten patients. You are told there is 70% chance of success. Find the probability that the surgery is successful for exactly 8 patients.
The Smoky Bear Trucking Company claims the average weight of a fully loaded moving van is 12,000 lb. The highway patrol decides to check this claim.
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