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"A forest fire is burning down a narrow valley 3 miles wide at a speed of 40 feet per minute. The fire can be contained by cutting a fire break through the forest across the valley. It takes 30 seconds for one person to clear one foot of the firebreak. The value of lost timber is $4000 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. Develop a model to determine:
a. How many people should be sent to contain the fire.
b. The best location for the firebreak.
Implement your model on a spreadsheet and find the optimal solution using Solver."
Find the z-score for each value of x = 54. (Give your answer correct to two decimal places.)
The amount of money requested on a home loan application at federal savings follow the normal distribution, with a mean of $270,000 and a standard deviation of $35,000. A loan applicatiom is received this morning. What is the probability:
a. what is the point estimate of the population mean? b. what is the point estimate of the population standard deviation?
Compare the margin of error for the interval estimates in parts (a), (b), and (c). The margin of error (Increases or Decreases) as p-bar gets smaller.
The personnel manager at a company wants to investigate job satisfaction among the female employees. One evening after a meeting, she talks to all 30 female employees who attended the meeting.
State the alternative hypothesis that would be used to determine if Brand A has a higher proportion of defective smoke detectors than Brand B. Calculate the test statistic for determining if a difference exists between the failure rates of the two..
The point estimate for the difference between the proportions is:
Following data from an x bar chart, is the process capable (capability index>1.33)?
A pharmaceutical company has determined that if a new cholesterol-reducing drug is manufactured (introduced to the market) the following probability distribution will describe this drug's contribution to the company profits during the next six mon..
Finding the probability of each event in a group of events of different possibility
Regression equation Credits=15.4-.07. Select the correct statement. Increase in number of hours worked per week increases the expected number of credits.
Can we conclude at the 5% significance level that the population mean weight of athletic men is lower than the population mean weight of non-athletic men?
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