MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.arrow_forwardA normal distribution has a mean of=100 with a SD= 20 . If one score is randomly selected from this distribution. What is the probability that the score will have a value between X=100 and X=130? NOTE: Using the z-score table attachedarrow_forwardThe measurement of the distance to a certain object is accompanied by systematic and random errors. The systematic error equals 50 m. in the direction of decreasing distance. The random errors obey the normal distribution law with the mean-square deviation = 100 m. Find (1) the probability of measuring the distance with an error not exceeding 150 m. in absolute value, (2) the probability that the measured distance does not exceed the actual one.arrow_forward
- Suppose X is a randomvariable of normal distribution with mean equal to -2 and standard deviation equal to 4. Find P(X>-2)arrow_forwardFind P(27 < X < 32) if X is normally distributed with mean 24 and standard deviation 5.arrow_forwardLet x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 5.6 and standard deviation ? = 0.4. (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) (c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.)arrow_forward
- A normal distribution has μ = 32 and σ = 5. (a) Find the z score corresponding to x = 27.arrow_forwardFind P(11<X<15) If X is normally distributed with a mean of 14 and a standard deviation of 2?arrow_forwardLet x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 5.6 and standard deviation ? = 0.4. (d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)arrow_forward
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