In: Math
Introduction to Probability and Statistics
Scenario: We wish to compare the commuting time in minutes to the university of two sections of a particular
Morning Section Times:
39 35 39 39 40 37 41 39 42 40 37 35 38 36 40 35 38 36 39 35 38 35
39 38 41 39 38 40 38 41 41 37 34 41 37 41 35 39 36 41
Evening Section Times:
35 47 29 34 26 34 38 45 44 49 37 37 37 37 40 26 29 30 23 38 32 36
45 39 31 42 41 35 34 43 31 30 37 36 33
Part 1 Create one side-by-side boxplot of the two sets of times (i.e. both boxplots on the same axes). The axes for the boxplots should have appropriate labels. Copy and paste this boxplot into your document. The boxplots themselves may be either horizontal or vertical.
Part 2 Use R to calculate the sample mean and sample standard deviation of the times for the two sections. Copy and paste the relevant commands and output from the R Console Window into your document.
Part 3 In your opinion, which class appears to have the longer commute times? Write a few sentences explaining your opinion. You should make reference to the relevant features of the two data sets (e.g. the sample mean or median, the spread of the data, minimum/maximum values, etc.)