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Let Y1, Y2, ... Yn denote a random sample from uniform distribution on the interval (0, theta).
let YBAR = sample mean, MAX = sample maximum
Consider:
estimator1 = 2(YBAR)
estimator2 = ([n+1]/n)MAX
Show that both estimators are unbiased estimators of theta.
Find the efficiency of estimator1 relative to estimator2.
Which estimator is preferable? Explain.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. What is the lower limit of the 90% confidence intervel? What is the upper limit of the 90% confidence interval?
Determine the p-value for this test. Is there sufficient evidence to justify the rejection of H0 at the "alpha" level of 0.01? Please explain your answer.
The Starbucks in the Bauer College of Business found that 24% of customers purchase more than one cup of coffee per day from their shop. If 180 customers are randomly selected one day, what is the probability that no less than 25% of them purchase..
If a technical assistant is randomly selected, what is the probability that she would like to have MAC, given that she would like to have a PC as well?
listed below are the number of years that popes and british monarchs lived after their election or coronation. treat
Does this sample give sufficient evidence to conclude that self-esteem scores for group-participation adolescents are significantly different from those of general population? Use two-tailed test with α = .01.
Suppose each employee in the company receives a $3000 raise for next year (each employee's salary is increased by $3000). The interquartile range of the salaries will
What is the probability that the project will be completed in 17 months or less?
Human populations can be modeled using an exponential growth function. Use the Library for research or other resources to find the following:
If the airline industry proudly announces that it has set a new record for the longest period of safe flights, would you be reluctant to fly? Are the airlines due to have a crash? Explain your answer.
Normal distribution with mean $60,000 and standard deviation $8000. Four electricians are selected at random from this population to be shipped to another region.
The average U.S. family includes 3.13 persons. To determine whether families in her city tend to be smaller in size compared to those across the United States, a city council member selects a simple random sample of 25 families.
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