Rstudio or Excel is recommended, thank you.

Question 7. A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinic follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan}: 2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.33, 1.94, 1.913 2.02. (a) Find a 95% twosided CI on the mean number of CAT scans performed each month at this clinic. (h) Historically, the mean number of scans performed by all clinics in the system has been 1.95. Is there any evidence that this particular clinic performs more CAT scans on average than the overail system average? Use c: = 0.05. Find the Ptalue. {c} Suppose we are interested in the standard deviation (0') of CAT scans performed each month at this clinic. Test Hg : a = 0.! versus H1 :0 ; 0.1 using a = 0.05. Find the Pvalue. (d) For the test in part (c), if 0' is really as large as 0.12, what. sample size will be reqtmd to detect this with power at least 0.8