All of the problems on this final exam concern the number of serious and fatal crashes that happened within the state of Minnesota during April and May of year 2018. Yes, these are recent data. However, this data set contains only those crashes in which the Minnesota State Patrol is the primary reporting law enforcement agency. The data set comprises 38 days of crash data, from 1 April 2018 to 8 May 2018. The data table contains four columns: the date, the number of injury crashes on that day, the number of fatal crashes on that day, and the total number of crashes on that day. The total is simply the number of injury crashes plus the number of fatal crashes. The data set is available on the course Canvas site as StatePatrolData. CSV.\fAccording to your boss, the 95% confidence interval that you provided in Problem (1b) is too large. Approximately how many ADDITIONAL days of crash data are needed to reduce the width of the 95% confidence interval down to plus or minus 0.5 [total crashes per day]?There is a conjecture within the State Patrol that across the state one can partition the days into two categories: "bad days" and "good days". On "bad days" there are more injury crashes and more fatal crashes. On "good days" there are fewer injury crashes and fewer fatal crashes. Does the crash data set provided support this conjecture? Give meaningful quantitative evidence to support your conclusion