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Use repeated systematic sampling to estimate the mean or total of a population of your choice. In the process of carrying out the survey and making the estimate, think about or discuss with others the following:
(a) What practical problems arise in establishing a frame, such as a map or list of units, from which to select the sample?
(b) How is the sample selection actually carried out?
(c) What special problems arise in observing the units selected?
(d) Estimate the population mean or total.
(e) Estimate the variance of the estimator above.
(f) Give a 95% confidence interval for the population mean or total.
(g) How would you improve the survey procedure if you were to do it again?
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A statistical study reported that the drug was effective with the p-value of .042. Is this true? The effective sample may be found about 42 times in 1000 samples.
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We finally assume that the initial amplitudes of the pulses are independent of the Poisson process. Compute the expected value of the total amplitude at time t.
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