Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 09 Jul 2017 My Price 9.00

variance of the sample mean

For the population of N = 5 units of Exercise 3 of Chapter 2:

(a) Compute directly the variance var(y) of the sample mean and the variance var(m) of the sample median.

(b) From each sample, compute the sample variance s2 and the estimate var (y) of the variance of the sample mean. Show that the sample variance s2 is unbiased for the finite-population variance σ2 but that the sample standard  is not unbiased for the population standard deviation

(c) For each sample, construct a standard 95% confidence interval for the population mean. What is the actual coverage probability for the method with this population and design?

Exercise 3 Consider a small population of N = 5 units, labeled 1, 2, 3, 4, 5, with respective y-values 3, 1, 0, 1, 5. Consider a simple random sampling design with a sample size n = 3. For your convenience, several parts of the following may be combined into a single table. (a) Give the values of the population parameters μ, τ , and σ2. List every possible sample of size n = 3. For each sample, what is the probability that it is the one selected? (b) For each sample, compute the sample mean y and the sample median m. Demonstrate that the sample mean is unbiased for the population mean and determine whether the sample median is unbiased for the population median.

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Maurice Tutor
(5)
Status NEW Posted 09 Jul 2017 09:07 PM My Price 9.00

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