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Assume that a factory has two machines. Past records show that Machine 1 produces 30 per cent of the output. 5 per cent of items produced by Machine 1 were defective and only 1 per cent produced by Machine 2 were defective. If an item selected at random is found to be defective, what is the probability that it was produced by Machine 2.
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies.
Sample of newspaper readers was asked to report which newspaper they read and to point to whether they were blue-collar worker, white-collar workerNewspaper reader is selected at random. Determine the probability that person selected.
An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equally likely to be correct or wrong.
A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the standard error of the mean?
Generate a relative frequency histogram using ten-point intervals to show the distribution of the scores.
Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.
Find a 95% confidence interval for the proportion p of the inner-city, working-class group who eventually became alcoholics.
The number of choco chips in an 18 ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1256 and a standard deviation of 129 chips, What is the probability that a randomly selected bag contains fewer than 1000 c..
As part of their application for a loan to buy Lakeside Farm, a property they hope to develop as a bed-and-breakfast operation, the prospective owners have projected:
What critical value should the company officials use to determine the rejection region?
The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.
Explain in language that the manager can understand why we cannot be confident that sales rose by 6%, and that in fact sales may even have dropped.
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