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Assignment 12 - Lesson 16 - Sampling Distributions

# Assignment 12 - Lesson 16 - Sampling Distributions -...

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Problem 1. Based on ACT-1: Sample from a Normal Distribution Before start, go to Calc / Calc Options / Select Summary Statistics / Select Count, Mean, and S.D. Want to simulate the sampling distribution of the mean of n = 9 independent observations drawn from a normal distribution with m = 0 and s = 18. Generate 30 samples. Summary of mean(Sm1) No Selector Count: 9 Mean: -0.955073 Median : -1.01177 MidRange: -0.756139 StdDev: 2.65 Range: 10.0969 IntQRange: 1.79411 C. How many sample means do you expect to have by this simulation? Answer: 30 (?) D. Before the simulation, calculate the mean and standard deviation of the sample means that would be theoretically expected. Answer: m = 0; n = 9; s = 6 E. Compare the mean and standard deviation of the sample means obtained by your simulation. Answer: F. How might you reduce the difference between what you observe in your simulation and what is expected theoretically?Answer: G. Construct a histogram and a normal probability plot of the sampling distribution. Does it appear to be approximately normal? Answer: H. What might improve the approximation to normality?Answer:

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Assignment 12 - Lesson 16 - Sampling Distributions -...

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