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, 1.88, 1.94, 1.97,  2.02. (a) Find a 95% two-sided CI on the mean number of CAT  scans performed each month at this clinic. (b) Historically, the mean number of scans performed by all  clinics in the system has been 1.95. If there any evidence  that this particular clinic performs more CAT scans on  average than the overall system average?

MATLAB: An Introduction with Applications
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 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, 1.88, 1.94, 1.97, 
2.02.
(a) Find a 95% two-sided CI on the mean number of CAT 
scans performed each month at this clinic.
(b) Historically, the mean number of scans performed by all 
clinics in the system has been 1.95. If there any evidence 
that this particular clinic performs more CAT scans on 
average than the overall system average?

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