Throwback question: In pharmacologic research a variety of clinical chemistry me

Question

Throwback question: In pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence of side effects of the medication under study. Suppose typical blood-glucose levels are normally distributed with mean 97.55 mg/dl and standard deviation 22.31 mg/dl. (Note: Round all of your answers to four decimal places where appropriate.) 93 and 2 in 95% of We would expect the blood glucose levels to fall between patients. a. b. A normal glucose range is 65 120 mg/dl. What is the probability a patient's blood glucose level falls between these two values? c. What is the probability that a patient's blood glucose level is greater than 133 mg/dl? probability.055 level corresponds to this cut-off? d. If a blood glucose level is in the top 1%, then the patient is classified as abnormal, what blood glucose cavuet 72 o glucose

Explanation / Answer

a) 95% is within 2 standard deviations of mean

So, answer is correct

b) z1 and z2 values are corresponding probabilities are correct

so, probability = 0.8438 - 0.0721 = 0.7717

c) Correct answer

d) Top 1% doest mean that z = 0.01

Let A be the cut-off value

P(Z > A) = 0.01

P(Z < A) = 1 - 0.01 = 0.99

From standard normal distribution table, z value can be found out, corresponding to 0.99

z = 2.33

So, cut-off value = 97.55 + 2.33x22.31

= 149.53 mg/dl

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