Problem 1.
Based on ACT1: 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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 Spring '11
 Thaler
 Statistics, Normal Distribution, Standard Deviation

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