3. Plasma magnesium levels in healthy adults follow a normal distribution with a mean of use I '1- I mmolilitre and a standard deviation of .1 mmoll'litre. In your calculations. show all working. a. Calcurlats the probability that a healthy adult has a plasma magnesium level 3 between are and 1.1a mmoll'lltre. - -. - \"-95 . . b. Reference limits for healthy adults have been proposed as DID mmolr'litre and 1.10 . rnmclllltre. Briey (in a few sentences) explain the role of reference limits and comment on whether or not this choice of reference limits is appropriate. as. {'3 (Hint: Refer to the question in [b] and to your answer to that question.) Cite any references you use. _.' c. The plasma magnesium levels for a random sample of 225 insulin dependent adult . diabetics were measured. and the results are summarised below: Eli-tie Mean Standard deviation - I181 0.03 . I. - i. Using the sample statistics. test at the 5% level of signicance whemer the I\" 1. population mean of plasma magnesium in insulin dependent adult diabetics is ' lower than that of the general population of healthy adults? in 3'6 I ll (Show all 5 steps of the hypomesis test in your answer, using notation as given -- ' in lectures}