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Water specimens contain nitrates, a solution that is dropped into the water will cause the specimen to turn red 95% of the time. When used on water specimens without nitrates, the solution turns the water red 10% of the time. Past experience in the lab indicates that nitrates are contained in 30% of the water specimens that are sent to the lab for testing. If a water specimen is randomly selected
1. from among those sent to the lab, what is the probability htat it will turn red when tested?
2. and turns red when tested, what is the probability that it actually contains nitrates?
What differentiates the two formulas Σ (x - xbar)^2/n-1 from Σ (x - µ)^2/n, and why the difference?
A major dvd rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with dvd playe..
Computer output from a multiple regression model with three independent variables yields the following estimated regression equation: 20.9 + 1.4X1 + 4.2X2 - 0.7X3.
The control chart is a graph used to track and monitor how a process develops or changes over time. A control chart always has a central line for the average, an upper line for the upper control limit and a lower line for the lower control limit. The..
1. One sample has SS=100 and a second sample has SS=124.a. If n=8 for both samples, find each of the sample variances, and calculate the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfw..
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, s..
How would you improve upon the way the Bureau of Labor Statistics computes the unemployment rate?
Find the probability that - exactly two of the workers have been exposed to asbestos - Find the probability that exactly 15 babies are female.
Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 75,000 miles and a standard deviation of σ miles. These tires come with a 60,000-mile warranty. The manufacturer of the tires can adjust σ during the produ..
Humane society claimes that less than 34% of U.S. households own a dog. In a random sample of 405 U.S. households, 152 say they own a dog. At x=0.03, is there enough evidence to support the society's claim?
Kellogg's cereal company regularly tests its production line to ensure the accuracy of the loading mechanisms. From a population of cereal boxes marked "12 ounces," a random sample of [n=16 boxes] is selected and the contents of each box is weighed.
The cryptanalyst computes y = Dx' (c0), where D is the decipherment function corresponding to E, for each possible key x', and then checks the table to see if y is in it. If so, (x, x') is a candidate for the key pair. How should the table be ..
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