Using R to solve following questions: Using the file “PHD. The csv file has the following columns: (Download PHD.csv from here

Using R to solve following questions:Using the file “PHD.csv”. The csv file has the following columns: (Download PHD.csv from here 1.Year: How many years it took the candidate to graduate with a Ph.DColumn 2.Uni: Which university the subject studied at (Berkeley, Columbia, Princeton).Column 3.Res: Residency of subject (permanent, temporary)Problem I:(a) Find the average years to graduation for the threeschools. Which school had the highest average?(b) Find the standard deviation of years to graduationfor the three schools. Which school had the lowestdeviation from the mean?(c) Did temporary or permanent residents take longerto graduate on average? Justify your answer.(d) Find the five number summary of the number ofyears it took to graduate. Do you believe the mini-mum is an outlier? Justify your answer.Problem II. Continue with the “PHD.csv” dataset.(a) Generate boxplot of years it took for the subjectsto graduate by residency. Do you believe there is asignificant difference between the groups? Explain.(b) Generate histogram of years to graduate by schoolWhich year had the most subjects in it for Prince-ton?(c) Generate mosaic plot of residency and school.Grouping by school, who had the highest proportionof temporary residents?(d) Generate mosaic plot of residency and school.Grouping by residency, who had the highest probabilityof going to Berkeley?Probkem III. Continue with the “PHD.csv” dataset. For the followingproblems, you must show results from either a plot, a table,or an aggregate command to back up your answers.(a) How may subjects were there attending Columbia?(b) How different was each schools average time to graduatecompared to the overall average?c) Were there more people who attended Berkeleyand were temporary residents, or who attendedColumbia and were temporary residents (looking atthe absolute magnitude).(d) If you were told a subject came from Princeton andwas a temporary resident, what would you estimatetheir years to graduate to be (based on only summary statistics and plots)?Download PHD.csv from here

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