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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# Zadanie 4\n", | ||
"\n", | ||
"Dwunastu tokarzy wykonuje takie same części. Ich średnia wydajności w sztukach na godzinę wynoszą odpowiednio: \n", | ||
"\n", | ||
"4.6, 6.1, 10.3, 9.8, 6.7, 12.3, 14.5, 8.7, 9.0, 7.3, 8.8, 11.2. \n", | ||
"\n", | ||
"Znaleźć $98\\%$--ową realizację przedziału ufności dla wariancji liczby sztuk wykonywanych w ciągu godziny przez jednego tokarza." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 21, | ||
"metadata": { | ||
"collapsed": true | ||
}, | ||
"outputs": [], | ||
"source": [ | ||
"import matplotlib.pyplot as plt\n", | ||
"import numpy as np\n", | ||
"from scipy import stats\n", | ||
"from scipy import integrate" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"## Zdefiniujmy zmienną losową" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"## Wylicz końce przedziałów" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"## Wypisz przedział ufności" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# Zadanie 2\n", | ||
"Wykonaj zadanie za pomocą <tt>scipy</tt> i <tt>funkcji stats.norm.interval</tt>." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# Zadanie 3\n", | ||
"Narysuj przedział ufności na wykresie gęstości i dystrybuanty odpowiedniego rozkładu." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
} | ||
], | ||
"metadata": { | ||
"kernelspec": { | ||
"display_name": "Python 3", | ||
"language": "python", | ||
"name": "python3" | ||
}, | ||
"language_info": { | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"file_extension": ".py", | ||
"mimetype": "text/x-python", | ||
"name": "python", | ||
"nbconvert_exporter": "python", | ||
"pygments_lexer": "ipython3", | ||
"version": "3.6.0" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 2 | ||
} |
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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# Zadanie 1\n", | ||
"\n", | ||
"W centrali telefonicznej dokonano 17 obserwacji długości losowo wybranych rozmów w ciągu jednego dnia i otrzymano (w min): $\\bar X = 5.48$, $S=1.2$; na tej podstawie -- przy założeniu, że długość rozmów telefonicznych mają rozkład normalny -- wyznaczyć $95\\%$-ową realizację przedziału ufności dla wartości przeciętnej długości rozmowy telefonicznej przeprowadzonej za pośrednictwem tej centrali w danym dniu. " | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 21, | ||
"metadata": { | ||
"collapsed": true | ||
}, | ||
"outputs": [], | ||
"source": [ | ||
"import matplotlib.pyplot as plt\n", | ||
"import numpy as np\n", | ||
"from scipy import stats\n", | ||
"from scipy import integrate" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"## Zdefiniujmy zmienną losową" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"## Wylicz końce przedziałów" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"## Wypisz przedział ufności" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# Zadanie 2\n", | ||
"Wykonaj zadanie za pomocą <tt>scipy</tt> i <tt>funkcji stats.norm.interval</tt>." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# Zadanie 3\n", | ||
"Narysuj przedział ufności na wykresie gęstości i dystrybuanty odpowiedniego rozkładu." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": { | ||
"collapsed": false | ||
}, | ||
"outputs": [], | ||
"source": [] | ||
} | ||
], | ||
"metadata": { | ||
"kernelspec": { | ||
"display_name": "Python 3", | ||
"language": "python", | ||
"name": "python3" | ||
}, | ||
"language_info": { | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"file_extension": ".py", | ||
"mimetype": "text/x-python", | ||
"name": "python", | ||
"nbconvert_exporter": "python", | ||
"pygments_lexer": "ipython3", | ||
"version": "3.6.0" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 2 | ||
} |
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