Using a six-sided die, answer the following questions:

- Compute the population mean and population standard deviation for the set of possible outcomes on a single roll of the die (you must show how you computed these).
- For
**each**of the sample sizes*n*= 1,*n*= 2,*n*= 4:a) Collect 10 samples by rolling the die

*n*times for each sampleb) Compute the sample mean

*M*for each sample (i.e., you should end up with 10 values for*M*)c) Using the Central Limit Theorem and the answers from question 1, compute the expected value of

*M*(the mean of the sampling distribution) and the standard error of*M*(the standard deviation of the sampling distribution) for a sample of size*n.*d) Compute the mean and standard deviation for your sample means (i.e., treat your set of

*M*values as a sample and compute its mean and standard deviation) - Compare the results obtained in parts (c) and (d) above and explain how these two sets of values are related. Are your empirical results broadly consistent with the central limit theorem?

Subject | General |

Due By (Pacific Time) | 03/06/2014 10:00 am |

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