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"The city of Rulertown consists of the unit interval [0,1]. Rulertown needs to determine where to build the city's only firestation. It knows that for a small Delta X, the probability that a given fire occurs at a location between x and delta x is 2x(delta x). Rulertown wants to minimize the average distance between the fire station and a fire. Where should the fire station be located?
Discuss how the null and alternative hypothesis for one-sample testing differs from two-sample testing; and explain how these two hypothesis' are the same, and provide a numerical example?
suppose that 80 of the accounts are in error. What is the probability that the auditor will find that the sample proportion (P) of the accounts in error will exceedd 0.10?
What is the probability that a dog owner will spend more than $130 on medical care in a given year? What is the prbability that a cat owner will spend $160 or more on medical care in a given year?
In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station
True mean when using a confidence interval of 95%. The standard deviation is estimated at $25. How many lunch receipts must they sample?
Based on these results a confidence interval extending from 5.96 to 6.16 was calculated for the population mean. Find the confidence level of this interval.
Can the college conclude that the students in the new program are significantly different from the rest of the freshman class? Use a two-tailed test with a .O5.
Find the critical value for t and determine the null and alternate hypothesis.
Suppose for a particular set of data r = 0.889, ybar = 5.5, n = 15 and the equation for the regression line is yhat = 3.5 + 2.5x. Find the best-predicted value of y given that x = 2.0.
A production process produces 90% non-defective parts. A sample of 10 parts from the production process is selected. What is the probability that the sample will contain 7 non-defective parts?
What is the probability that separates the bottom 25 percent from the rest of the distribution.
The standard deviation of the sample was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval within which the population mean lies?
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