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The following data represent the number of days absent per year in a population of six employees of a small company: 1 3 6 7 9 10 a. Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the property called? Sampling Distribution of the Mean for n=2 Sample Number Outcome Sample Mean X 1 1.3 X=2 2 1.6 X=3.5 3 1.7 X=4 4 1.9 X=5 5 1.1 X=5.5 6 3.6 X=4.5 7 3.7 X=5 8 3.9 X=6 9 3.1 X=6.5 10 6.7 X=6.5 11 6.9 X=7.5 12 6.1 X=8 13 7.9 X=8 14 7.1 X=8.5 15 9.1 X=9.5 Total X=90 Mean of All possible Sample Means: X=90/15=6 Mean of All Population Elements: (1+3+6+7+9+10)/6=6 Both mean are equal to 6, this property is called Un-Biasedness. b. Repeat (a) for all the sampling distribution of the mean in (a) and (b) . Which sampling distribution has less variability? Why? c. Assuming that you sample with replacement, repeat (a) through (c) and compare the results. Which sampling distribution have the least variability - those in (a) or (b) ? Why? Show your work!
Probabilities
Mutually exclusive then these two events will be independent
1) The 1996 GSS asked, "If the husband in a family wants children, but the wife decides that she does not want any children, is it all right for the wife to refuse to have children?" Of 708 respondents, 576 said yes.A) Find a 99% confidence interval ..
a.) What is the optimal value of the objective function? More than one optimal solution can lead to the case of alternative optimal solutions, More than one solution provides the optimal value for the objective function.b.) What are the optimal value..
Researchable hypothesis for Accounts Receivable
1. length of pregnancies the length of human pregnancies from conception to birth varies according to a distribution
Consider the covariance stationary time series that satisfy the stochastic difference equation
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For the daily lottery game in Illinois, participants select three numbers between 0 and 9. A number cannot be selected more than once, so a winning ticket could be, say, 307 but not 337. Purchasing one ticket allows you to select one set of num..
Find the indicated probabilities using Poisson distribution. Then determine if the events are unusual. A newspaper finds that the mean of typo error is five. Find the probability that a) exactly for errors found on a page, b)at most for errors ..
What are the advantages and disadvantages of using confidence intervals as an alternative approach to statistical inference
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