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A random sample of size n is to be used to test the null hypothesis that the parameter theta of an exponential population equals thetasub0 against the alternative that it does not equal thetasub0
a) Find an expression for the likelihood ratio statistic.
b) Use the result of part a to show that the critical region of the likelihood ratio test can be written as xbar.e^(-xbar/thetasub0) < or equal K.
What hypothesis testing procedure would you use in the following situations? Explain your reasons, including assumptions and limitations for selecting the procedure.
Toby's trucking company determined that the distance traveled per truck per year is normally distrinuted, with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles.
If Household is selected at random, find out the probability that it feels economic conditions are good?
The Gallup Poll has decided to increase the size of its random sample of Canadian voters from about 1500 people to 4000 people. The effect of this increase is: increase the standard error of the estimate.
The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2.
question the u.s. energy information administration releases figures in their publication monthly energy review about
At a large university, a mathematics placement exam is administered to all students. Samples of 36 male and 30 females are randomly selected from this year's student body and the following scores recorded.
If we believe the manufacturer's assertion, what is the probability that at most 3 of the 6 seeds that were planted will germinate?
Based on the answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
Describe the five steps of hypothesis testing. Compare Type I and Type II errors and give specific examples for each. Which error should be minimized the most and first?
Develop a point of the population standard deviation for life expectancy of VCRs.
Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
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