Suppose Diane and jack are each attempting to use a simulation to describe the s

Question

Suppose Diane and jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 5. Diane obtains 1000 random samples of size n=3 from the population, find the mean of the means and determine the standard deviation of the means. Jack does the same simulation but obtains 1000 random samples of size n= 40 from the population. What do you expect the standard deviation of Diane’s distribution to be? What do you expect the standard deviation of Jacks distribution to be Suppose Diane and jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 5. Diane obtains 1000 random samples of size n=3 from the population, find the mean of the means and determine the standard deviation of the means. Jack does the same simulation but obtains 1000 random samples of size n= 40 from the population. What do you expect the standard deviation of Diane’s distribution to be? What do you expect the standard deviation of Jacks distribution to be

Explanation / Answer

the mean of the mean of Diane and Jack will be exactly equal to the population mean, so the means of mean for diane and Jack will be 50

Standard deviation for Diane = S/sqrt(n) where S = population standard deviation and n is sample size

so, Standard deviation for Diance = 5/sqrt(3) = 2.887

Again

Standard deviation for Jack = S/sqrt(n) where S = population standard deviation and n is sample size

so, Standard deviation for Diance = 5/sqrt(40) = 0.791

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