# 6 SIX A population consists of 5 numbers: 1. 2. 3, 4, 10. Consider all possibl

Question

# 6 SIX

A population consists of 5 numbers: 1. 2. 3, 4, 10. Consider all possible samples of size two which can be drawn with replacement from this population. Find a) the mean of the population, b) the standard deviation of the population, c) the mean orthsamplng distribution of means, d) the standard deviation of the sampling distribution of mcans. 6. Using the data of Problem 5, compute the mean of the sampling distribution of variances corresponding to the samples drawn. 7. A sample poll of 100 voters chosen at random from all voters in a given district showed that 56% of those polled were in favor of a particular candidate. Find 99% confidence limits for the proportion of all voters in favor of this candidate.

Explanation / Answer

from above data below is table of distirbution of variances:

x1 x2 sample variance 1 1 0 1 2 0.5 1 3 2 1 4 4.5 1 10 40.5 2 1 0.5 2 2 0 2 3 0.5 2 4 2 2 10 32 3 1 2 3 2 0.5 3 3 0 3 4 0.5 3 10 24.5 4 1 4.5 4 2 2 4 3 0.5 4 4 0 4 10 18 10 1 40.5 10 2 32 10 3 24.5 10 4 18 10 10 0 total 250 mean=total/25 10

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