If a single potassium measurement is made, what is the probability that Judy is

Question

If a single potassium measurement is made, what is the probability that Judy is diagnosed as hypokalemic? If measurements are made instead on 4 separate days and the mean result is compared with the criterion 3.5, what is the probability that Judy is diagnosed as hypokalemic? Glucose testing, continued. Shelia's measured glucose level on hour after ingesting a sugary drink varies according to the Normal distribution with mu - 125 mg/dl and sigma = 10 mg/dl. Let's consider what would happen if we took 4 separate measurements from Shelia. What is the blood glucose level L such that the probability is only 0.05 that the average of 4 measurements is larger than L? Blood potassium level, continued. Judy's measured potassium level varies according to the Normal distribution with mu = 3.8 and sigma = 0.2 mmol/l. Let's consider what could happen if we took 4 separate measurements from Judy. What is the blood potassium level L such that the probability is only 0.05 that the average of 4 measurements is less than L?

Explanation / Answer

13.34)

Given ,

L: Is the glucose level for one hour . Follows normal distribution with mean=125 and standard deviation=10

P( L < l ) =0.05

We have to find the L value

Formula is

L=mean+ Z*standard deviation

Z value for 0.05 =-1.645

So , if you plug all this values into equation of L you get

L=125+(-1.645*10)

=125-16.45

=108.55

Glucose level L=108.55

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