Exercise3

R Markdown

This is an R Markdown document. Markdown is a simple formatting syntax for authoring HTML, PDF, and MS Word documents. For more details on using R Markdown see http://rmarkdown.rstudio.com.

When you click the Knit button a document will be generated that includes both content as well as the output of any embedded R code chunks within the document. You can embed an R code chunk like this:

sortedSample = c(0.246, 0.327, 0.423, 0.425, 0.434, 0.530, 0.583, 0.613, 0.641, 1.054, 1.098, 1.158, 1.163, 1.439, 1.464, 2.063, 2.105, 2.106, 4.363, 7.517)

plot(ecdf(sortedSample), main = "ECDF of Samples",
     xlab = "Values", ylab = "Empirical CDF")

Including Plots

You can also embed plots, for example:

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.

cat("2B.\n")

## 2B.

cat("The Mean is ")

## The Mean is

cat(mean(sortedSample))

## 1.4876

cat("\n")

cat("The Variance is ")

## The Variance is

cat(var(sortedSample))

## 2.934267

cat("\n")

cat("The Median is ")

## The Median is

cat(median(sortedSample))

## 1.076

cat("\n\n")

quantile(sortedSample)

##      0%     25%     50%     75%    100% 
## 0.24600 0.50600 1.07600 1.61375 7.51700

cat("\n")

cat("The IQR Range is Q3 - Q1 = 1.61375 - 0.506 = 1.10775")

## The IQR Range is Q3 - Q1 = 1.61375 - 0.506 = 1.10775

cat("2c. \n")

## 2c.

cat("The Square Root of the Variance is ")

## The Square Root of the Variance is

cat(sqrt(var(sortedSample)))

## 1.71297

cat("\n")

cat("The IQR Range is Q3 - Q1 = 1.61375 - 0.506 = 1.10775")

## The IQR Range is Q3 - Q1 = 1.61375 - 0.506 = 1.10775

cat("The P(Xhat > 0.5) is ")

## The P(Xhat > 0.5) is

cat(round(1 - pnorm(0.5, 0, 0.4025),4))

## 0.1071