EE 381 Final Project

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School

California State University, Long Beach *

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Course

381

Subject

Electrical Engineering

Date

Jan 9, 2024

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pdf

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Name: Afzal Jameel Hakim Class: EE 381 Sec 05 Fall 2023 Student ID: 028290663 POPULATION 1 1) Generate the population 1 histogram. Also fill the table below by calculating the mean and standard deviation of population 1. Population Mean (µ) Population Standard deviation (σ) Population 1 550.0531369 39.99271093110416 2) Generate random samples from population 1 using the following values for n and k: These samples can be generated using the command “numpy.random.choice. (n, k) = (2, 10), (2, 100), (2, 1000) (20, 100), (20, 1000) (200, 100), (200, 1000)

Population 1 n k E(x ̅ ) S(x ̅ ) E(s) 2 10 550.8555 25.573500000000003 25.573500000000 003 2 100 552.13455 21.428449999999994 21.428449999999 994 2 1000 550.8895799999999 23.547379999999997 23.547379999999 997 20 10 551.8462499999999 36.665054220269916 36.665054220269 916 20 100 550.58574 37.69478044539207 37.694780445392 07 20 1000 550.5615275000001 38.368131536142535 38.368131536142 535 200 10 550.0919699999998 41.089964869779635 41.089964869779 635 200 100 550.1185110000001 39.87009551368138 39.870095513681 38 200 1000 550.08585735 39.877137390472576 39.877137390472 576

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POPULATION 2 1) Generate the population 2 histogram. Also fill the table below by calculating the mean and standard deviation of population 2. Population Mean (µ) Population Standard deviation (σ) Population 2 199.9374891 80.30176703475696 2) Generate random samples from population 2 using the following values for n and k: These samples can be generated using the command “numpy.random.choice. (n, k) = (2, 10), (2, 100), (2, 1000) (20, 100), (20, 1000) (200, 100), (200, 1000)

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Population 2 n k E(x ̅ ) S(x ̅ ) E(s) 2 10 195.78199999999998 41.081 41.081 2 100 199.25875 49.49754999999999 49.4975499999999 9 2 1000 202.55725999999999 44.74083 44.74083 20 10 198.12814999999998 72.02048760197786 72.0204876019778 6 20 100 198.86666999999997 78.94539348607655 78.9453934860765 5 20 1000 199.88910800000002 77.59140264593469 77.5914026459346 9 200 10 198.79052 79.06712342220015 79.0671234222001 5 200 100 200.91541750000005 79.34787397567065 79.3478739756706 5 200 1000 200.00641190000002 80.19922011880988 80.1992201188098 8

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