exercise:F993150033: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Test your conclusions in Exercise Exercise by computer simulation. First choose 364 numbers <math>X_i</math> with density <math>f(x) = \mbox {normal}(x,0,1/4)</math>. Now form the sum <math>Y_{365} = 100 + X_1 + X_2 +\c...") |
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Test your conclusions in [[exercise:5afdb5e440 |Exercise]] by computer simulation. First choose 364 numbers <math>X_i</math> with density <math>f(x) = | |||
simulation. First choose 364 numbers <math>X_i</math> with density <math>f(x) = | |||
\mbox {normal}(x,0,1/4)</math>. Now form the sum <math>Y_{365} = 100 + X_1 + X_2 +\cdots+ | \mbox {normal}(x,0,1/4)</math>. Now form the sum <math>Y_{365} = 100 + X_1 + X_2 +\cdots+ | ||
X_{364}</math>, and repeat this experiment 200 times. Make up a bar graph on | X_{364}</math>, and repeat this experiment 200 times. Make up a bar graph on | ||
<math>[50,150]</math> of the results, superimposing the graph of the approximating normal | <math>[50,150]</math> of the results, superimposing the graph of the approximating normal | ||
density. What does this graph say about your answers in Exercise | density. What does this graph say about your answers in [[exercise:5afdb5e440|Exercise]]? | ||
Latest revision as of 00:30, 15 June 2024
Test your conclusions in Exercise by computer simulation. First choose 364 numbers [math]X_i[/math] with density [math]f(x) = \mbox {normal}(x,0,1/4)[/math]. Now form the sum [math]Y_{365} = 100 + X_1 + X_2 +\cdots+ X_{364}[/math], and repeat this experiment 200 times. Make up a bar graph on [math][50,150][/math] of the results, superimposing the graph of the approximating normal density. What does this graph say about your answers in Exercise?