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Let X1, X2, ... Xn denote a random sample of size n from a continuous distribution with pdf
f(x,theta) = theta x^(theta-1) for 0 < x < 1 and theta > 0.
Show that the geometric mean = (X1X2X3...Xn)^(1/n), of the sample is a sufficient statistic for theta.
Find the maximum likelihood estimator of theta, and observe that it is a function of this geometric mean.
A year ago, Air Force implemented new test for finding which candidates are most probable to become successful pilots. Now they wish to see if implementing pilot predictor test was a good idea. Scores have been standardized to facilitate comparis..
Determine a point estimate of population mean. Determine the 99% confidence interval of true mean weight of the minivans.
suppose that an investigator believes that virtually all values in the population are between 38 and 70. the
What is the logic behind using the sum of the products of deviation scores as the numerator of the formula for the correlation coefficient? Is this logic sound? Why or why not?
Jane chooses every 20th person in the campus phone book to call for her interview study. Justin identifies important subgroups in the campus population
A valid probability model
There are 130 cabinets in a row in a warehouse. The first worker to arrive opens the door of every cabinet. The next employee visits every other door and closes it.
A South American custom candy producer wants to know if the mean daily consumption of regular sugar sweetened candy eaters is less than that of artificial sweetened candy eaters.
Identify a business research topic and define the research questions for the identified problem or opportunity
What is the probability that at least one of the new books is a commercial success?
Identify a business situation where you might want to make an estimate. For example, you might want to estimate the mean dollar amount spent by customers at a retail store.
Pollsters just report the results of hypothesis tests that show statistical significance but not those in which there was insufficient evidence.
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