Medication used to treat a certain condition is administered by syringe. The tar

Question

Medication used to treat a certain condition is administered by syringe. The target dose in a particular application is 10 milligrams. Because if variations in the syringe, in reading the scale, and in mixing the fluid suspension, the actual dose administered is normally distributed with a mean = 10 milligrams and standard deviation = 1.6 milligrams. A clinical overdose is defined as a dose larger than 15 milligrams. Would it be unusual for a patient to receive an overdose? Why or why not? (Hint: First, find the probability that a patient will receive an overdose. You will need to use the standard normal curve and Table A.2. Then, based on the probability, decide whether this event would be unusual or not and explain your reasoning.)

Explanation / Answer

Ans:

Given that

mean, = 10 milligrams

standard deviation, = 1.6 milligrams

z=(15-10)/1.6

z=3.125

P(overdose)=P(z>3.125)=0.0009

As,above probability is less than 0.05,so it would be unusual for a patient to receive an overdose.

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