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A machine is made up of two components that operate independently. The lifetime Xi (in days) of component i has an exponential distribution with parameter , for i ~ 1,2.
Suppose that the two components are placed in series and that as soon as a component fails, it is replaced by a new one. Let N(t) be the number of replacements in the interval (0,t]. We can show that the stochastic process
Indication. If X0 is the time between two successive replacements, then we can write that X0 - min{X1,X2}.
At the 0.05 level of significance, test whether the software package has reduced the average time it takes to complete deliveries.
Construct a 98% confidence interval for the difference in the proportions of Americans who ate the recommended amounts of fibrous foods in 1983 and in 1992.
patients who have artificial hip-replacement surgery experience pain the first day after surgery. typically the pain is
suppose that the distribution of net typing rate in words per minute wpm for experienced typists can be approximated by
Use a calculator or appropriate computer software to verify that, for the preceding data, xbar = 5.1.
question a researcher wants to conduct a beforeafter study on 15 subjects to determine if a treatment results in any
A company is creating 5 new divisions and 8 managers are eligible to be appointed head of a division. With 8 managers trying for 5 jobs, how could the five new heads be arranged?
a large candy manufacturer is concerned that the mean weight of their chunky chocolate crisp bar is not greater than
Use Random Number Generation (RNG) in Analysis ToolPak of Excel to generate n = 5 observations from the Normal distribution N(20, 5). Construct the 95% confidence interval for μ.
heights of men on a basketball team have a bell shaped distribution with a mean of 173cm and a standard deviation of
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. Use the z-test for proportions and test the airline's claim. Use a = 0.01. Solution:
the average number of acres burned by forest and range fires in a large new mexico county is 4300 acres per year with a
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