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A forest fire is burning down a narrow valley 3 miles wide at a speed of 50 feet pe rminute. The fire can be constrained by cutting a firebreak through the forest across the valley. It takes 30 seconds for one person to clear one foot of the direbreak. The value of lost timber is $5,000 per square mile.
Each person hired is paid $12 per hour, and it costs $30 to transport and supply each person with the appropriate equipment.
a. Develop a model for determining how many people should be sent to contain the fire and for determining the best location for the firebreak.
b. Implement your model on a spreadsheet and find the optimal solution using solver
Describe the difference between sample and a sampling distribution. Your reply must be in complete sentences and you may use sketches to help you.
You read that statistical test at α=0.01 level has probability 0.14 of making a Type II error when specific alternative is true. Calculate the power of test against this alternative?
A college class believes that the average grade average of psychology students and the average grade averages of biology students are different.
A multiple regression analysis includes 25 data points and 4 independent variables results in SST = 200 and SSR = 150. the multiple standard error of estimate will be?
Determine the mean and the standard deviation of the sample.
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
Sun Microsystems has approximately 50% of the high-end Unix machines market with its closest competitor being IBM. Suppose that 15 firms were in the market to purchase a high-end Unix machine. Assume that these firms listened to sales pitches by a..
The first step in this assignment is to provide SPSS with the Value Labels for the values in LOCALE97.
Years to Complete a Graduate Program: The average number of years a person takes to complete a graduate degree program is 3. The standard deviation is 4 months. Assume the variable is normally distributed. If an individual enrolls in the program, ..
Use the population mean and standard deviation to find the z-score corresponding to 14.5%, the rate offered by the Bar Harbor Bank and Trust Company. Is this above or below the average?
Election officials take a random sample of 100 signatures and thoroughly investigate them to find that 84% are valid. Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
In Texas, 1991, the weights of babies, the mean birth weight for all babies is 3369 grams, with a standard deviation of 581 grams, (454 grams = 1 pound). Looking at a baby that weighed 16.1 lbs at birth: What would his Z-score be when compared to ..
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