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, x has a distribution that is approximately normal, with mean u = 54 and estimatedstandard deviation o = 30. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.n USE SALT(a) What is the probability that, on a single test, x < 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 probabilitydistribution of x? Hint: See Theorem 6.1.The probability distribution of x is not normal.O The probability distribution of x is approximately normal with u, = 54 and o,= 30.O The probability distribution of x is approximately normal with H, = 54 and o, = 21.21.The probability distribution of x is approximately normal with µ, = 54 and o, = 15.00.What is the probability that x < 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.)(e) Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?O YesNoExplain what this might imply if you were a doctor or a nurse.O The more tests a patient completes, the stronger is the evidence for lack of insulin.O 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.O The more tests a patient completes, the weaker is the evidence for excess insulin.

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, x has a distribution that is approximately normal, with mean µ = 54 and estimated standard deviation o = 30. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. A USE SALT (a) What is the probability that, on a single test, x < 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 x? Hint: See Theorem 6.1. O The probability distribution of x is not normal. The probability distribution of x is approximately normal with u, = 54 and o, = 30. O The probability distribution of x is approximately normal with u, = 54 and o, = 21.21. O The probability distribution of x is approximately normal with µ = 54 and o, = 15.00. What is the probability that x < 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.)

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, x has a distribution that is approximately normal, with mean µ = 54 and estimated standard deviation o = 30. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. A USE SALT (a) What is the probability that, on a single test, x < 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 x? Hint: See Theorem 6.1. O The probability distribution of x is not normal. The probability distribution of x is approximately normal with u, = 54 and o, = 30. O The probability distribution of x is approximately normal with u, = 54 and o, = 21.21. O The probability distribution of x is approximately normal with µ = 54 and o, = 15.00. What is the probability that x < 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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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