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Suppose that certain electronic components have lifetimes that are exponentially distributed: f(t|τ) = (1/τ)exp(-t/τ),t > 0. Five new components are put on test, the first one fails at 100 days, and no further observations are recorded.
a. What is the likelihood function of τ?
b. What is the mle of τ?
c. What is the sampling distribution of the mle?
d. What is the standard error of the mle?
Say a fast-food franchiser is considering building a restaurant in a local mall. According to franchise headquarters, a site is acceptable only if the number of pedestrians passing the location averages more than 100 per hour.
Solve the equations using linear algebra
A small town has a population of 20,000 people. Among these 1,000 regularly visit a popular local bar. A sample of 100 people who visit the bar is surveyed for their annual expenditures in the bar.
Results of a statistical survey and analyze processed data and what proportion of homes subscribe to telephone service from Ashland? Would you say this portion is small, medium, or large?
The dean of students believes that teh costs are greater this semester. What is the test value for this hypothesis?
Use MegaStat's output for simple linear regression to determine the regression equation
The mean maximum oxygen uptake for elite athletes has been found to be 80 with a standard deviation of 8.1. Assume that the distribution is approximately normal.
Examine the two standard deviations. What do these indicate about the range of benefits enjoyed by the two groups?
How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
He is equally likely to select any. Billy leaves last and takes the one remaining hat. Let x be the number of cowboys who end up with the correct hat.
The simple random sample is n = 14, σ = 12.5 and the original population is normally distributed.
Calculate the test statistic. Determine the p-value of the test-statistic.
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