Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a

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Let X Be A Random Variable That Represents The Level Of Glucose In The Blood Milligrams Per Deciliter Of Blood After A 1 (51.05 KiB) Viewed 45 times

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, has a distribution that is approximately normal, with mean = 73 and estimated standard deviation o = 46. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. USE SALT (a) What is the probability that, on a single test, * < 40? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of ? Hint: See Theorem 6.1. The probability distribution of x is not normal. The probability distribution of x is approximately normal with #x - 73 and 46. The probability distribution of is approximately normal with 2 - 73 and The probability distribution of x is approximately normal with = 73 and 7 = 23.00. - 32.53 What is the probability that * < 40? (Round your answer to four decimal places.) (C) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.) (d) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.) (c) Compare your answers to parts (a), (b), (c), and (d). Did the probabilitles decrease as n increased? Yes No Explain what this might imply if you were a doctor or a nurse. The more tests a patient completes, the stronger is the evidence for excess insulin The more tests a patient completes, the weaker is the evidence for lack of insulin The more tests a patient completes, the stronger is the evidence for lack of insulin. The more tests a patient completes, the weaker is the evidence for excess insulin