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Statistical software generated samples of 100 random numbers repeatedly. Here ar

ID: 3224303 • Letter: S

Question

Statistical software generated samples of 100 random numbers repeatedly. Here are the sample means for 50 samples of size 100: The mean of the population from which the 50 samples were drawn is mu = 0.5 if the random number generator is accurate. What do you expect the mean of the distribution of x vector from all possible samples to be? 0.5 0.10 0.25 Based on the standard deviation of the 50 sample means, which is 3.251, the standard deviation of individuals in the population (sigma) is: 0.3251 0.03251 0.003251

Explanation / Answer

1) from central limit theorumm distribution of Xbar have mean =0.5

2) std deviation =(3.251)/(100)1/2 =0.3251

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