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Blood Chemistry 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 93 mg/dL and standard deviation - 37 mg/dL. (Assume blood-glucose levels can be measured exactly and no continuity correction is necessary.) USE SALT (a) If the normal range is 65-120 mg/dL, then what percentage of values will fall in the normal range? (Round your answer to two decimal places.) (b) In some studies only values at least 1.5 times as high as the upper limit of normal are identified as abnormal. What percentage of values would fall in this range? (Round your answer to two decimal places.) (c) What percentage of values would fall in the range of at least 2.0 times the upper limit % normal? (Round your answer to two decimal places.)

Blood Chemistry 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 93 mg/dL and standard deviation - 37 mg/dL. (Assume blood-glucose levels can be measured exactly and no continuity correction is necessary.) USE SALT (a) If the normal range is 65-120 mg/dL, then what percentage of values will fall in the normal range? (Round your answer to two decimal places.) (b) In some studies only values at least 1.5 times as high as the upper limit of normal are identified as abnormal. What percentage of values would fall in this range? (Round your answer to two decimal places.) (c) What percentage of values would fall in the range of at least 2.0 times the upper limit % normal? (Round your answer to two decimal places.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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Blood 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 = 93 mg/dL and standard deviation = 37 mg/dL. (Assume that blood-glucose levels can be measured exactly and no continuity correction is necessary.) Chemistry USE SALT (a) If the normal range is 65-120 mg/dL, then what percentage of values will fall in the normal range? (Round your answer to two decimal places.) % (b) In some studies only values at least 1.5 times as high as the upper limit of normal are identified as abnormal. What percentage of values would fall in this range? (Round your answer to two decimal places.) % (c) What percentage of values would fall in the range of at least 2.0 times the upper limit of normal? (Round your answer to two decimal places.) % (d) Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two separate occasions? (Round your answer to four decimal places.) (e) Suppose that in a pharmacologic study involving 6,200 patients, 76 patients have blood-glucose levels at least 1.5 times the upper limit of normal on one occasion. What is the probability that this result could be due to chance? (Round your answer to four decimal places.)
Transcribed Image Text:Blood 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 = 93 mg/dL and standard deviation = 37 mg/dL. (Assume that blood-glucose levels can be measured exactly and no continuity correction is necessary.) Chemistry USE SALT (a) If the normal range is 65-120 mg/dL, then what percentage of values will fall in the normal range? (Round your answer to two decimal places.) % (b) In some studies only values at least 1.5 times as high as the upper limit of normal are identified as abnormal. What percentage of values would fall in this range? (Round your answer to two decimal places.) % (c) What percentage of values would fall in the range of at least 2.0 times the upper limit of normal? (Round your answer to two decimal places.) % (d) Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two separate occasions? (Round your answer to four decimal places.) (e) Suppose that in a pharmacologic study involving 6,200 patients, 76 patients have blood-glucose levels at least 1.5 times the upper limit of normal on one occasion. What is the probability that this result could be due to chance? (Round your answer to four decimal places.)
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