Hwk4SolnFinDrtSp06

# Hwk4SolnFinDrtSp06 - HW 4 Solutions Question 1 A Histogram...

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HW 4 Solutions Question 1 A) Frequency 180 165 150 135 120 105 90 75 25 20 15 10 5 0 200 180 160 140 120 100 80 60 40 30 20 10 0 C1 C2 Histogram of C1, C2 Both sample 1 and sample 2 look relatively normal. Sample 2 has a larger range, but neither seem to be either bi-modal or skewed. Percent 200 150 100 50 99.9 99 95 90 80 70 60 50 40 30 20 10 5 1 0.1 200 150 100 50 99.9 99 95 90 80 70 60 50 40 30 20 10 5 1 0.1 C1 C2 Mean 123.9 StDev 21.19 N 200 AD 0.210 P-Value 0.860 C1 Mean 126.8 StDev 20.86 N 200 AD 0.144 P-Value 0.969 C2 Probability Plot of C1, C2 Normal - 95% CI The normal probability plot again shows that both samples satisfy normality. There seems to be an outlier in the second sample, but we can expect up to 5% of the data points to be outside of the 95% bound lines so there are no problems here. B) Repeat Part a above using n = 100 and n = 10. Try to get a feel for how much variation there is around a straight line when you are sampling normal data. How do the plots change with sample size?

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Frequency 160 140 120 100 80 20 15 10 5 0 180 160 140 120 100 80 25 20 15 10 5 0 C3 C4 Histogram of C3, C4 With a sample of 100 the curves both still look relatively normal. The first sample seems a little left skewed, but the right one appears to be okay. Percent 200 150 100 50 99.9 99 95 90 80 70 60 50 40 30 20 10 5 1 0.1 200 150 100 50 99.9 99 95 90 80 70 60 50 40 30 20 10 5 1 0.1 C3 C4 Mean 126.9 StDev 22.38 N 100 AD 0.325 P-Value 0.518 C3 Mean 128.0 StDev 22.07 N 100 AD 0.486 P-Value 0.221 C4 Probability Plot of C3, C4 Normal - 95% CI The normal probability plot confirms that both samples are normal.
Frequency 180 160 140 120 100 4 3 2 1 0 160 150 140 130 120 110 100 3.0 2.5 2.0 1.5 1.0 0.5 0.0 C5 C6 Histogram of C5, C6 These are both ugly samples. The first sample seems bimodal. The second sample seems right skewed.

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• Spring '06
• RLLOYD
• Normal Distribution, probability plot, StDev N AD, Mean StDev, AD PValue, Security Processing Times

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