Suppose Jack and Dane are each attempting to use a simulation to describe the sa

Question

Suppose Jack and Dane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 50 and standard deviation 5 Jack obtains 1000 random samples of size n=3 from the population finds the mean of the means and determines the standard deviation of the means Diane does the same simulation but obtains 1000 random series of size n=30 from the population Complete parts through below Describe the shape you expect for Jack's distribution of sample means. Describe the shape you expect for Diane's distribution of sample means. Choose the correct answer below Jack's distribution is expected to be skewed left, but not as much as the original distribution Diane's distribution is expected to be approximately normal. Jack's distribution is expected to be skewed right, but not as much as the original distribution. Diane's distribution is expected to be approximately normal Diane's distribution is expected to be skewed right, but more than the original distribution. Jack's distribution is expected to be approximately normal. Jack's distribution and Diane's distribution are expected to be approximately normal. However. Jack's Mil have a greater standard deviation

Explanation / Answer

Since Jack's sample size is small, his distribution will be expected to have the same distribution as original i.e. skewed right but since the standard error will decrease, it wont be as skewed as original distribution.

Diane's distribution is expected to be approximately normal by applying the central limit theorem since n = 30.

Hence,

Option B is correct.

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