I need the answer of question 4 and all the parts a,b,c with steps for each.. round all the answers to 4 decimal places and put the units.. it's a biostats class.. thank you!

4. (15 points) The human carcinogen dioxin can be produced by the burning of common trash. Curiously it is hypothesized that trash from homes that recycle will produce more dioxins per kilogram of trash burned than homes that don't recycle. It is thought that a higher proportion of chlorine and metals in the recycler's trash is the cause of higher levels of dioxin per kilogram. Below are the dioxin levels in picograms/kg of trash from 15 families that are avid recyclers. 251 247 207 281 290 260 265 190 212 150 264 230 219 250 177 (a) Calculate the mean and standard deviation for the sample. You may use R or a calculator to do the work. Just let me know which one you used and if the TI calculator what symbol you used for the standard deviation. No need to show work but remember units! (b) Construct a 95% confidence interval for the average dioxin level for the avid recyclers. (c) If a well-run municipal incinerator produces 200 picograms/kg of trash burned, do you feel the recylcers' trash produces significantly more dioxin per kilogram