PROBLEM SET-5 Sampling Distributions

PROBLEM SET-5 Sampling Distributions - STATISTICS FOR...

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STATISTICS FOR SOCIAL SCIENCES BUS 152 ___________________________________________________________________________ PROBLEM SET - 5 SAMPLING DISTRIBUTIONS Problem 1 (7.1) Given a normal distribution with µ = 100 and σ = 10, if you select a sample of n = 25, what is the probability that X is a. less than 95? b. between 95 and 97.5? c. above 102.2? d. There is a 65% chance that X is above what value? Problem 2 (7.4) 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. Compute the mean of all the sample means and also compute the population mean. Are they equal? What is this property called? b. Do (a) for all possible samples of n = 3. c. Compare the shape of the sampling distribution of the mean in (a) and (b). Which sampling distribution has less variability? Why? d.

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PROBLEM SET-5 Sampling Distributions - STATISTICS FOR...

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