Compiled the Rmd files

06_StatisticalInference/homework/hw1.html

@@ -447,4 +447,4 @@ <h2>About these slides</h2>
  <script>hljs.initHighlightingOnLoad();</script>
  <!-- DONE LOADING HIGHLIGHTER JS FILES -->
 
- </html>
+ </html>

06_StatisticalInference/homework/hw2.html

@@ -224,10 +224,10 @@ <h2>About these slides</h2>
 
 <div class="quiz-text quiz-multitext well">
  <p>Suppose that the number of web hits to a particular site are approximately normally
-distributed with a mean of 100 hits per day and a standard deviation of 10 hits per day. Imagine taking a random sample of 50 days. </p>
+distributed with a mean of 100 hits per day and a standard deviation of 10 hits per day. </p>
 
 <ol>
-<li>What number of web hits would
+<li>Imagine taking a random sample of 50 days. What number of web hits would
 be the point so that only 5% of averages of 50 days of web traffic have more hits? 
 Express your answer to 3 decimal places. </li>
 </ol>
@@ -271,10 +271,8 @@ <h2>About these slides</h2>
 that you&#39;re right, in a blind test where you randomize 6 paired varieties (Merlot,
 Chianti, ...) of cheap and expensive wines</p>
 
-<ol>
-<li>what is the change that she gets 5 or 6 right expressed as a percentage
-to one decimal place?</li>
-</ol>
+<p>what is the change that she gets 5 or 6 right expressed as a percentage
+to one decimal place?</p>
 
  <button class="quiz-submit btn btn-primary">Submit</button>
  <button class="quiz-toggle-hint btn btn-info">Show Hint</button>
@@ -308,9 +306,7 @@ <h2>About these slides</h2>
 a uniform distribution (which has mean 0.5, and variance 1/12) and take their
 mean, \(\bar X\)</p>
 
-<ol>
-<li>what is the approximate probability of getting as large as 0.51 or larger expressed to 3 decimal places?</li>
-</ol>
+<p>what is the approximate probability of getting as large as 0.51 or larger expressed to 3 decimal places?</p>
 
  <button class="quiz-submit btn btn-primary">Submit</button>
  <button class="quiz-toggle-hint btn btn-info">Show Hint</button>
@@ -406,12 +402,9 @@ <h2>About these slides</h2>
  <article data-timings="">
 
 <div class="quiz-text quiz-multitext well">
- <p>The number of web hits to a site is Poisson with mean 16.5 per day. </p>
-
-<ol>
-<li>What is the probability of getting 20 or fewer in 2 days expressed
-as a percentage to one decimal place?</li>
-</ol>
+ <p>The number of web hits to a site is Poisson with mean 16.5 per day. 
+What is the probability of getting 20 or fewer in 2 days expressed
+as a percentage to one decimal place?</p>
 
  <button class="quiz-submit btn btn-primary">Submit</button>
  <button class="quiz-toggle-hint btn btn-info">Show Hint</button>

06_StatisticalInference/homework/hw2.md

@@ -135,9 +135,9 @@ round(qnorm(.05, mean = 100, sd = 10, lower.tail = FALSE), 3)
 
 --- &multitext
 Suppose that the number of web hits to a particular site are approximately normally
-distributed with a mean of 100 hits per day and a standard deviation of 10 hits per day. Imagine taking a random sample of 50 days. 
+distributed with a mean of 100 hits per day and a standard deviation of 10 hits per day. 
 
-1. What number of web hits would
+2. Imagine taking a random sample of 50 days. What number of web hits would
 be the point so that only 5% of averages of 50 days of web traffic have more hits? 
 Express your answer to 3 decimal places. 
 
@@ -172,7 +172,7 @@ You don't believe that your friend can discern good wine from cheap. Assuming
 that you're right, in a blind test where you randomize 6 paired varieties (Merlot,
 Chianti, ...) of cheap and expensive wines
 
-1. what is the change that she gets 5 or 6 right expressed as a percentage
+what is the change that she gets 5 or 6 right expressed as a percentage
 to one decimal place?
 
 *** .hint
@@ -198,7 +198,7 @@ Consider a uniform distribution. If we were to sample 100 draws from a
 a uniform distribution (which has mean 0.5, and variance 1/12) and take their
 mean, $\bar X$
 
-1. what is the approximate probability of getting as large as 0.51 or larger expressed to 3 decimal places?
+what is the approximate probability of getting as large as 0.51 or larger expressed to 3 decimal places?
 
 *** .hint
 Use the central limit theorem that says $\bar X \sim N(\mu, \sigma^2/n)$
@@ -239,7 +239,7 @@ individual draws were taken from.
 
 If you roll ten standard dice, take their average, then repeat this process over and over and construct a histogram, 
 
-1. what would be its variance expressed to 3 decimal places?
+2. what would be its variance expressed to 3 decimal places?
 
 *** .hint
 $$Var(\bar X) = \sigma^2 /n$$
@@ -261,8 +261,7 @@ mean((1 : 6 - 3.5)^2)
 
 --- &multitext
 The number of web hits to a site is Poisson with mean 16.5 per day. 
-
-1. What is the probability of getting 20 or fewer in 2 days expressed
+What is the probability of getting 20 or fewer in 2 days expressed
 as a percentage to one decimal place?
 
 *** .hint