\fHave crime rates in the US increased over a 10-year period? The data set "Crime R.csv" can be used to investigate this question. The two variables of interest in this file are "CrimeRate", which gives the number of offences per million people in each state at a certain point in time, and "CrimeRate10", which gives the same data 10 years later. Address each of the following parts. a) Is this paired or unpaired data? b) Calculate the summary statistics relevant to this problem. c) Compute a 95% confidence interval for the mean change in crime rate over 10 years. Show all your working. d) Based on that confidence interval, is there sufficient evidence to conclude that crime rates are higher at the end of the 10-year period? In your answer, comment on the relationship between confidence intervals and 2-sided hypothesis tests. e) Use a nonparametric hypothesis test to further investigate whether there is a difference between crime rates before and after the 10-year period. f) Is a parametric or non-parametric test more appropriate here, and why