The following graph shows the curve for a normally distributed variable. Superim

Question

The following graph shows the curve for a normally distributed variable. Superimposed are the curves for the sampling distributions of the sample mean for two different sample sizes Normal curve for variable Explain why all three curves are centered at the same place. Which curve corresponds to the larger sample size? Explain your answer. Why is the spread of each curve different?. which of the two sampling distribution curves corresponds to the sample size that will tend to produce less sampling error? Explain your answer. Why are the two sampling-distribution curves normal curves?

Explanation / Answer

18) Since samples A and B are dram from normal therefore they are centered at the same place as they have the same mean.

19) A corresponds to larger sample size since the spread is more.

20) The spread of each curve is different as the sample sizes are different.

21) Since B has the less sample size it will correspond to less sampling error.

22) Since both the samples A and B are from normal distribution they will also follow normal distribution hence the curves are normal curves.

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