This is a case study on the sinking of the titanic. It basically demonstrates the use of t-test. TASK 4b Use R to create a table showing the average age of the survivors and the average age of the people who died.

TASK 4c Use R to run a t-test to test the following hypothesis: H2: The Titanic survivors were younger than the passengers who died

Average Ages

The average age of those who survived and those who did not:

aggregate(Age~Survived,data = titanic.df,mean)
##   Survived      Age
## 1        0 30.41530
## 2        1 28.42382

Hypothesis

To check the hypothesis- “The Titanic survivors were younger than the passengers who died” we employ the t-test for individual groups.

t.test(Age~Survived,data = titanic.df)
## 
##  Welch Two Sample t-test
## 
## data:  Age by Survived
## t = 2.1816, df = 667.56, p-value = 0.02949
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  0.1990628 3.7838912
## sample estimates:
## mean in group 0 mean in group 1 
##        30.41530        28.42382

From the result of the t-test, its clear that p-value<0.05. It implies that the difference in the means of age of the passengers who survived and who didn’t survive the sinking ship is significant.

Thus the hypothesis - “The Titanic survivors were younger than the passengers who died” is True.

RIP the ones who did not survive the tragedy