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For the survey in Exercise 1, estimate the population total using overall intersection probabilities.Exercise 1 In a survey to estimate the abundance of a rare animal species in a study region divided into N = 1000 units, an initial simple random sample of n = 100 units is selected. An adaptive cluster sampling design is used with adjacent units added to the sample whenever one or more of the animals is encountered. One of the units in the initial sample intersected a network of two units containing three of the animals, and another intersected a network of three units containing six animals. The other 98 units of the initial sample contained none of the animals. Estimate the total number of the animals in the population using draw-by-draw intersection probabilities and estimate the variance of the estimator.
Suppose that 80% of all batteries have acceptable voltages, and let y denote the number of batteries that must be tested. What is p(2), that is, P(y=2).
Airlines overbook (sell more tickets than there are seats) flights, based on past records that indicate that approximately 5% of all passengers fail to arrive on time for their flight. Suppose a plane will hold 250 passengers, but the airline book..
Suppose the distribution of amounts purchased follows normal distribution. For sample of 50 customers, reply the following questions. Determine the probability the sample mean is at least $25.00?
Use the rules to find an F -statistic for testing whether the term is present, assuming an unrestricted model. Do any of your answers change if you assume a restricted model instead?
When someone buys a ticket for an airline flight, there is a 90% probability that a person will not show up for the flight. Air America books 15 people on a commuter flight that can only seat 13 passengers.
tests of the fidelity and the selectivity of 190 radios produced the results shown in the following table use the 001
From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes.
The manger plugs their data into excel and without plotting comes up with the equation for the regression line. Using this equation they estimate the produce sales for the upcoming year. What mistakes did they make? Explain.
Three years ago, the admissions office for Ivy College began using exponential smoothing with a smoothing constant of 0.25 to forecast the number of applications for admission each year.
To obtain data, the obituary columns of The New York Times are read for 30 days, and the ages at death of people in the United States are noted. Do you think this approach will lead to a representative sample?
What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?
Hypothesis test of the claim has been conducted and that the conclusion of the test was to reject the null hypothesis. Identify the population to which the results of the test apply.
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