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‎06_StatisticalInference/homework/hw2.Rmd‎

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---
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title : Statistical Inference Second Homework
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subtitle :
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title : Homework 2 for Stat Inference
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subtitle : Extra problems for Stat Inference
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author : Brian Caffo
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job : Johns Hopkins Bloomberg School of Public Health
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logo : bloomberg_shield.png
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framework : io2012
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highlighter : highlight.js
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hitheme : tomorrow
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url:
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lib: ../../librariesNew #Remove new if using old slidify
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assets: ../../assets
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#url:
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# lib: ../../librariesNew #Remove new if using old slidify
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# assets: ../../assets
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widgets : [mathjax, quiz, bootstrap]
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mode : selfcontained # {standalone, draft}
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---
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---
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```{r setup, cache = F, echo = F, message = F, warning = F, tidy = F, results='hide'}
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# make this an external chunk that can be included in any file
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library(knitr)
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runif(1)
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```
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## About these slides
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- These are some practice problems for Statistical Inference Quiz 1
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- They were created using slidify interactive which you will learn in
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Creating Data Products
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- Please help improve this with pull requests here
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(https://github.com/bcaffo/courses)
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runif(1)
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--- &radio
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The probability that a manuscript gets accepted to a journal is 12% (say). However,
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given that a revision is asked for, the probability that it gets accepted

‎06_StatisticalInference/homework/hw2.html‎

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<!DOCTYPE html>
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<html>
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<head>
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<title>Statistical Inference Second Homework</title>
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<title>Homework 2 for Stat Inference</title>
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<meta charset="utf-8">
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<meta name="description" content="Statistical Inference Second Homework">
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<meta name="description" content="Homework 2 for Stat Inference">
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<meta name="author" content="Brian Caffo">
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<meta name="generator" content="slidify" />
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<meta name="apple-mobile-web-app-capable" content="yes">
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<meta http-equiv="X-UA-Compatible" content="chrome=1">
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media="only screen and (max-device-width: 480px)" >
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<link rel="stylesheet" href="../../librariesNew/highlighters/highlight.js/css/tomorrow.css" />
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<base target="_blank"> <!-- This amazingness opens all links in a new tab. --> <link rel=stylesheet href="../../librariesNew/widgets/quiz/css/demo.css"></link>
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<base target="_blank"> <!-- This amazingness opens all links in a new tab. --> <link rel=stylesheet href="libraries/widgets/quiz/css/demo.css"></link>
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<link rel=stylesheet href="libraries/widgets/bootstrap/css/bootstrap.css"></link>
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<script src="http://ajax.aspnetcdn.com/ajax/jQuery/jquery-1.7.min.js"></script>
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src="../../librariesNew/frameworks/io2012/js/require-1.0.8.min.js">
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<!-- LOGO SLIDE -->
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<slide class="title-slide segue nobackground">
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<aside class="gdbar">
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<img src="../../assets/img/bloomberg_shield.png">
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</aside>
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<hgroup class="auto-fadein">
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<h1>Statistical Inference Second Homework</h1>
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<h2></h2>
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<h1>Homework 2 for Stat Inference</h1>
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<h2>Extra problems for Stat Inference</h2>
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<p>Brian Caffo<br/>Johns Hopkins Bloomberg School of Public Health</p>
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</hgroup>
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<article></article>
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<!-- SLIDES -->
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<slide class="" id="slide-1" style="background:;">
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<hgroup>
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<h2>About these slides</h2>
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</hgroup>
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<article data-timings="">
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<ul>
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<li>These are some practice problems for Statistical Inference Quiz 1</li>
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<li>They were created using slidify interactive which you will learn in
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Creating Data Products</li>
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<li>Please help improve this with pull requests here
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(<a href="https://github.com/bcaffo/courses">https://github.com/bcaffo/courses</a>)
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runif(1)</li>
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</ul>
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</article>
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<!-- Presenter Notes -->
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</slide>
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</div>
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<div class="quiz-explanation">
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<p>round(pnorm(93, mean = 100, sd = 10) * 100)[1] 24</p>
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<pre><code class="r">round(pnorm(93, mean = 100, sd = 10) * 100)
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</code></pre>
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<pre><code>[1] 24
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</code></pre>
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</div>
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</div>
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<p>We want
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\[
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P(A^c | T_-) = \frac{P(T_- | A^c) P(A^c)}{P(T_- | A^c) P(A^c) + P(T_- | A) P(A)}
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\]
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(.88 * .95) / (.88 * .95 + .07 * .05)[1] 0.9958</p>
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\]</p>
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<pre><code class="r">(.88 * .95) / (.88 * .95 + .07 * .05)
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</code></pre>
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<pre><code>[1] 0.9958
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</code></pre>
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</div>
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</div>
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<div class="quiz-explanation">
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<p>round(qnorm(.95, mean = 100, sd = 10), 3)[1] 116.4
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round(qnorm(.05, mean = 100, sd = 10, lower.tail = FALSE), 3)[1] 116.4</p>
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<pre><code class="r">round(qnorm(.95, mean = 100, sd = 10), 3)
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</code></pre>
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<pre><code>[1] 116.4
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</code></pre>
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<pre><code class="r">round(qnorm(.05, mean = 100, sd = 10, lower.tail = FALSE), 3)
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</code></pre>
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<pre><code>[1] 116.4
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</code></pre>
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</div>
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<div class="quiz-explanation">
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<p>round(qnorm(.95, mean = 100, sd = 10 / sqrt(50) ), 3)[1] 102.3
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round(qnorm(.05, mean = 100, sd = 10 / sqrt(50), lower.tail = FALSE), 3)[1] 102.3</p>
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<pre><code class="r">round(qnorm(.95, mean = 100, sd = 10 / sqrt(50) ), 3)
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</code></pre>
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<pre><code>[1] 102.3
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</code></pre>
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<pre><code class="r">round(qnorm(.05, mean = 100, sd = 10 / sqrt(50), lower.tail = FALSE), 3)
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</code></pre>
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<pre><code>[1] 102.3
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</code></pre>
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</div>
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<ul>
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<li>
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<a href="#" target="_self" rel='tooltip'
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data-slide=1 title='About these slides'>
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1
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<![endif]-->
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<script>window.MathJax || document.write('<script type="text/x-mathjax-config">MathJax.Hub.Config({"HTML-CSS":{imageFont:null}});<\/script><script src="libraries/widgets/mathjax/MathJax.js?config=TeX-AMS-MML_HTMLorMML"><\/script>')
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‎06_StatisticalInference/homework/hw2.md‎

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---
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title : Statistical Inference Second Homework
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subtitle :
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title : Homework 2 for Stat Inference
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subtitle : Extra problems for Stat Inference
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author : Brian Caffo
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job : Johns Hopkins Bloomberg School of Public Health
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logo : bloomberg_shield.png
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framework : io2012
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highlighter : highlight.js
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hitheme : tomorrow
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url:
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lib: ../../librariesNew #Remove new if using old slidify
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assets: ../../assets
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#url:
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# lib: ../../librariesNew #Remove new if using old slidify
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# assets: ../../assets
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widgets : [mathjax, quiz, bootstrap]
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mode : selfcontained # {standalone, draft}
15-
---
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---
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## About these slides
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- These are some practice problems for Statistical Inference Quiz 1
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- They were created using slidify interactive which you will learn in
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Creating Data Products
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- Please help improve this with pull requests here
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(https://github.com/bcaffo/courses)
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runif(1)
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--- &radio
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The probability that a manuscript gets accepted to a journal is 12% (say). However,
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*** .explanation
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round(pnorm(93, mean = 100, sd = 10) * 100)[1] 24
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```r
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round(pnorm(93, mean = 100, sd = 10) * 100)
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```
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```
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[1] 24
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```
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$$
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(.88 * .95) / (.88 * .95 + .07 * .05)[1] 0.9958
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```r
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(.88 * .95) / (.88 * .95 + .07 * .05)
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```
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```
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[1] 0.9958
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```
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*** .explanation
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round(qnorm(.05, mean = 100, sd = 10, lower.tail = FALSE), 3)[1] 116.4
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```r
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round(qnorm(.95, mean = 100, sd = 10), 3)
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```
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```
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[1] 116.4
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```
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```r
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round(qnorm(.05, mean = 100, sd = 10, lower.tail = FALSE), 3)
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```
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```
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round(qnorm(.05, mean = 100, sd = 10 / sqrt(50), lower.tail = FALSE), 3)[1] 102.3
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```r
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round(qnorm(.95, mean = 100, sd = 10 / sqrt(50) ), 3)
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```
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```
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[1] 102.3
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```
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```r
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round(qnorm(.05, mean = 100, sd = 10 / sqrt(50), lower.tail = FALSE), 3)
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```
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```
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[1] 102.3
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```
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