Here's the question I'm trying to answer:
You take many temperature readings in Monterey Bay and find a mean temperature, T = 12 C. The standard deviation of temperature measurements is given by sigma_T = 2 C. Assuming the data are normally distributed, what fraction of your readings do you expect to be between
(a) 10 and 14 C? - this is easy - it is one sigma away so I would expect approximately 68% in that range.
(b) 8 and 16? similarly - two sigmas away so approximately 95%
(c) 6 and 8?
(d) 11.5 and 12.5?
(c) and (d) are where I'm having trouble. It seems there is a normdist function on excel that would calculate this, but I need to do everything via Matlab.
Thank you very much for any help!