solution to homework 5

# solution to homework 5 - -0.410982 N 100 Minimum 0.28000...

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Problem 1. The purpose of this exercise is to understand the sampling distribution of sample mean. We will create 100 samples (100 rows). In each sample (row), we will simulate 25 random outcomes (25 columns), and store the sample mean for each row in C26. By looking at the distribution of C26, can you justify stuff you learn in the class? Step 1. Calc>>random data>>uniform>> Step 2. Calc>>row statistics>>

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Step 3. Stat>>graphical summary>> summarize the variable C26 2.3 2.2 2.1 2.0 1.9 1.8 Median Mean 2.04 2.02 2.00 1.98 1.96 Anderson-Darling Normality Test V ariance 0.0116 Skewness 0.241600 Kurtosis -0.322733 N 100 Minimum 1.7848 A-Squared 1st Q uartile 1.9138 Median 2.0026 3rd Q uartile 2.0666 Maximum 2.2911 95% Confidence Interval for Mean 1.9771 0.31 2.0199 95% Confidence Interval for Median 1.9645 2.0342 95% Confidence Interval for StDev 0.0945 0.1251 P-V alue 0.545 Mean 1.9985 StDev 0.1077 95% Confidence Intervals Summary for C26
Problem 2 0.72 0.64 0.56 0.48 0.40 0.32 Median Mean 0.52 0.51 0.50 0.49 0.48 Anderson-Darling Normality Test V ariance 0.00807 Skewness 0.095490 Kurtosis

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Unformatted text preview: -0.410982 N 100 Minimum 0.28000 A-Squared 1st Q uartile 0.44000 Median 0.48000 3rd Q uartile 0.56000 Maximum 0.72000 95% Confidence Interval for Mean 0.47737 1.14 0.51303 95% Confidence Interval for Median 0.48000 0.52000 95% Confidence Interval for StDev 0.07889 0.10438 P-V alue 0.005 Mean 0.49520 StDev 0.08985 95% Confidence Intervals Summary for C26 Problem 3 A. 4.0 3.6 3.2 2.8 2.4 2.0 Median Mean 3.10 3.05 3.00 2.95 2.90 Anderson-Darling Normality Test V ariance 0.1779 Skewness 0.097073 Kurtosis 0.334793 N 100 Minimum 1.8977 A-Squared 1st Q uartile 2.7099 Median 3.0290 3rd Q uartile 3.2598 Maximum 4.0394 95% Confidence Interval for Mean 2.9159 0.33 3.0833 95% Confidence Interval for Median 2.8855 3.0755 95% Confidence Interval for StDev 0.3703 0.4899 P-V alue 0.509 Mean 2.9996 StDev 0.4217 95% Confidence Intervals Summary for C26 B. You can count the proportion of C26 that lies within the confidence interval. It should be very close to 95%...
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## This note was uploaded on 11/14/2011 for the course ECON UA.18.1-01 taught by Professor Romanfrydman during the Fall '11 term at NYU.

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solution to homework 5 - -0.410982 N 100 Minimum 0.28000...

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