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The average annual salary for federal government is $41,979. Use this figure as the population mean and assume the population standard deviation = $5,000 Suppose that a random sample of fifty federa
Their scores on the test are 15, 14, 20, 20, 25, 22, 21, 19, 16, 17, 21, 22. What statistical test should be used to analyze the data?
A game is said to be fair if the expected value for winnings is 0, that is, in the long run, the player can expect to win nothing. Consider the following game. The game costs $1 to play and the winn
You have made 72 payments and wish to know how much you owe on the mortgage, which you are considering paying off with the lottery money you just won. How much money do you need to have won to pay o
A random sample of 900 refrigerators contains 79 defective units. Estimate the process fraction nonconforming. What is the distribution of nonconforming units? Can this be approximated? With what?
At a large university it is known that 40% of the students live on campus. The director of student life is going to take a random sample of 200 students. What is the probability that more than half
You work for a large international oil company searching for oil off the coast of Australia, not too far from Melbourne. Your firm has acquired drilling rights, and you are contemplating your firm's
A company employs 50 people in the sewing department. 40 of them belongs to a union and 10 do not. 5 are selected at random to form a committee to meet with management regarding shift times. What i
There are two multiple choice questions on a quiz and a student answers the two questions at random. Each question has four possible choices with only one correct answer. What is the conditional pro
John Beale of Stanford, CA, recorded the speed of cars driving past his house where the speed limit read 20 mph. The mean of 1000 readings was 23.84 mph, with a standard deviation of 3.56 mph. How
People with z-scorces greater than 2.5 on an IQ test are sometimes classified as geniuses. If IQ test scores have a mean of 100 and a standard deviation of 16 points, what IQ score do you need to be
In Bayesian analysis additional information is used to alter the probability of the occurrence of an event.
A sample of n = 7 scores has a mean of 5. After one score is added to the sample, the new mean is found to be 7. What is the value of the new score?
Hypothesis test for the population mean: Z test. A furniture store claims that a specially ordered product will take, on average, = days (5 weeks) to arrive. The standard deviation of these waiting
Develop a payoff (cost) table for this situation. What decision would Beverly make if she were optimistic? What decision would Beverly make is she were pessimistic?
What is a unique way to choose a random samples from a specific pooled data set, how to assign each data item, how will wach item be selected?
The mean is found to be 230 pounds, and the standard deviation is 15 pounds. At a _ 0.01, test the coach's claim. Find the P-value and make the decision. Please provide a detailed response.
Consider the following variation on the Bernoulli process: On trials three through five, the probability of success is a parameter w, but on all the other trials, the probability of success is 2/3.
A real estate agent claims that the standard deviation of the rental rates of apartments in a certain county is $95. A random sample of rates in dollars is shown. At a _ 0.02, can the claim be refut
A population has a mean of 100 and standard deviation of 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain.
A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is : (a). Greater than 63. (b). Less than 56. (c). Betwe
A biologist is interested in comparing the weights of toads in two ponds, one of which is polluted. Let μ1 be the average weight of toads in the polluted pond, and let μ2 be the avera
One item on a questionnaire asks, "How many siblings (brothers and sisters) did you have when you were a child?" A researcher computes the mean, the median, and the mode for a set of n = 50 response
Let us draw a card at random from an ordinary deck of cards. Define the random variable X in the following way: X=4 if an ace is drawn, X=3 if a king is drawn, X=2 if a queen is drawn, X=1 if a jack
Solve for the z value (or multiple z values) for the following conditions