Question: -2024 0 2000 6000 T -2 All x values 0 2 4 Q-Q normal plot all x values -202 Theoretical Quantiles Sample Quantiles 0.5

-2024 0 2000 6000 T -2 All x values 0 2 4Q-Q normal plot all x values -202 Theoretical Quantiles Sample Quantiles 0.51.0 1.5 2.0 2.5 -1.0 Frequency x Minimal W: 0.582 p-value: 0.000356Frequency Maximal W: 1 p-value: 1 0.0 0.5 1.0 1.5 2.0 2.5

-2024 0 2000 6000 T -2 All x values 0 2 4 Q-Q normal plot all x values -202 Theoretical Quantiles Sample Quantiles 0.5 1.0 1.5 2.0 2.5 -1.0 Frequency x Minimal W: 0.582 p-value: 0.000356 Frequency Maximal W: 1 p-value: 1 0.0 0.5 1.0 1.5 2.0 2.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Q-Q normal plot (minimal W: 0.582) -0.5 0.0 0.5 1.0 Theoretical Quantiles Sample Quantiles 0.5 0.0 0.5 1.0 1.5 x Q-Q normal plot (maximal W: 1) -1.0 -0.5 0.0 0.5 1.0 Theoretical Quantiles 2.0 Frequency 400 800 1200 0 p-value 0.0 0.2 0.4 0.6 0.8 1.0 0.6 W statistic all 10000 samples 0.6 0.7 0.8 0.9 1.0 W statistic 0.7 Shapiro-Wilk, p-value vs W-statistic sample size: 5, number of samples: 10000 Frequency 0 100 0.8 0.9 1.0 W statistic p-value all 10000 samples 0.0 0.2 0.4 0.6 0.8 1.0 p.value -2 0 2 4 Theoretical Quantiles 0 5000 10000 20000 x Q-Q normal plot all x values All x values Frequency Shapiro-Wilk normality test: normal distribution Minimal W: 0.593 Maximal W: 0.996 p-value: 2.11e-05 p-value: 1 Frequency -2 0 2 -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 -2 -1 0 1 2 3 Sample Quantiles -1.5 co 01- 2.0 0.0 X Q-Q normal plot (minimal W: 0.593) Sample Quantiles x p-value 0.0 0.2 0.4 0.6 Q-Q normal plot (maximal W: 0.996) W statistic all 13000 samples 500 1000 Frequency Shapiro-Wilk, p-value vs W-statistic sample size: 11, number of samples: 13000 0.6 0.7 0.8 0.9 1.0 W statistic 009 p-value all 13000 samples -1.5 -0.5 0.0 0.5 1.0 1.5 -1.5 -0.5 0.0 0.5 1.0 1.5 0.6 0.7 0.8 0.9 1.0 0.0 0.2 0.4 0.6 0.8 1.0 Theoretical Quantiles Theoretical Quantiles W statistic p.value Frequency 400 Sample Quantiles -2 0 2 Theoretical Quantiles frequency 5000 15000 -2 x Frequency 2 Shapiro-Wilk normality test: normal distribution Minimal W: 0.584 All x values p-value: 0.000176 Maximal W: 0.999 p-value: 1 Shapiro-Wilk, p-value vs W-statistic sample size: 7, number of samples: 11000 0 2 0.0 Q-Q normal plot all x values O'z Sample Quantiles 1.0 1.5 0.5 0 2.5 0.5 1.0 1.5 2.0 2.5 3.0 Q-Q normal plot (minimal W: 0.584) Sample Quantiles -0.5 0.0 1.0 Frequency -1.0 -0.5 0.0 0.5 1.0 x Q-Q normal plot (maximal W: 0.999) Frequency 1500 500 p-value 0.0 0.2 0.4 0.6 o'n 1.0 W statistic all 11000 samples 0.6 0.7 0.8 0.9 1.0 W statistic p-value all 11000 samples -1.0 -0.5 0.0 0.5 1.0 -1.0 -0.5 0.0 0.5 1.0 0.6 0.7 0.8 0.9 1.0 0.0 0.2 0.4 0.6 0.8 1.0 Theoretical Quantiles Theoretical Quantiles W statistic p.value Frequency requency 10000 15000 20000 x 0 Q-Q normal plot all x values T -2 0 2 Theoretical Quantiles 2 All x values Sample Quantiles 1.0 0'0 Frequency Shapiro-Wilk normality test: normal distribution Minimal W: 0.601 p-value: 9.92e-05 Maximal W: 0.997 p-value: 1 Shapiro-Wilk, p-value vs W-statistic sample size: 9, number of samples: 12000 -2.5-2.0 -1.5 -1.0 -0.5 0.0 0.5 x Q-Q normal plot (minimal W: 0.601) -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Theoretical Quantiles Sample Quantiles -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Frequency -2.0 -1.0 0.0 0.5 1.0 1.5 Q-Q normal plot (maximal W: 0.997) T Frequency 500 1000 1500 2000 2500 0 p-value 90 0.0 0.2 2 0.4 0.8 10 oooo.. 0.6 0.7 0.8 0.9 1.0 W statistic W statistic all 12000 samples Frequency 00 200 3 400 500 600 p-value all 12000 samples -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 0.6 0.7 0.8 0.9 1.0 0.0 0.2 0.4 0.6 0.8 1.0 Theoretical Quantiles W statistic p.value

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