Lab3

#Import

##   ID Company Conformity Concentration
## 1  1       X        Yes         100.7
## 2  2       X        Yes          98.5
## 3  3       X        Yes         103.8
## 4  4       X        Yes          99.6
## 5  5       X        Yes          97.1
## 6  6       X        Yes         101.7

## 'data.frame':    100 obs. of  4 variables:
##  $ ID           : int  1 2 3 4 5 6 7 8 9 10 ...
##  $ Company      : chr  "X" "X" "X" "X" ...
##  $ Conformity   : chr  "Yes" "Yes" "Yes" "Yes" ...
##  $ Concentration: num  100.7 98.5 103.8 99.6 97.1 ...

##        ID           Company           Conformity        Concentration   
##  Min.   :  1.00   Length:100         Length:100         Min.   : 90.40  
##  1st Qu.: 25.75   Class :character   Class :character   1st Qu.: 94.47  
##  Median : 50.50   Mode  :character   Mode  :character   Median : 97.50  
##  Mean   : 50.50                                         Mean   : 97.62  
##  3rd Qu.: 75.25                                         3rd Qu.:100.15  
##  Max.   :100.00                                         Max.   :106.90

#Probality of events

##        Conformity
## Company No Yes
##       X 26  24
##       Y 12  38

##        Conformity
## Company  No Yes Sum
##     X    26  24  50
##     Y    12  38  50
##     Sum  38  62 100

## [1] 0.5

## [1] 0.42

## [1] 0.68

## [1] 0.96

#Binominal Distribution

## [1] 0.1829266

## [1] 0.317687

#Normal Distribution

## [1] 97.624

## [1] 3.90232

## [1] 0.5383799

## [1] 0.1310622

## [1] 0.3305579

#Confidence Interval for the Mean

##   ID Company Conformity Concentration
## 1  1       X        Yes         100.7
## 2  2       X        Yes          98.5
## 3  3       X        Yes         103.8
## 4  4       X        Yes          99.6
## 5  5       X        Yes          97.1
## 6  6       X        Yes         101.7

## [1] 97.624

##      X      Y 
## 97.186 98.062

##        X        Y 
## 4.463183 3.233491

##  X  Y 
## 50 50

##        X        Y 
## 95.91758 97.14305

##   Company  n        SE               SD Lower_95CI upper_95CI
## X       X 50 0.6311894 4.46318317814009   95.91758   98.45442
## Y       Y 50 0.4572847 3.23349119468763   97.14305   98.98095