13) What is the mean of the normal distribution shown here?0.30.20.1-2-11234578CO

Given that ; A standard normal curve is given here, by using the concept of standard normal…

Answered: 13) What is the mean of the normal…

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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The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.7 minutes. 43 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of a? a- N( c. What is the distribution of ) x? x - N( С. d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.7824 and 22.2824 minutes. e. For the 43 runners, find the probability that their average time is between 21.7824 and 22.2824 minutes. f. Find the probability that the randomly selected 43 person team will have a total time less than 967.5. g. For part e) and f), is the assumption of normal necessary? ONo Yes h. The top 15% of all 43 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the…
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Which of the following statements is true about the Standard Normal Distribution? The standard deviation of the standard normal distribution is 1 The standard normal distribution is left-skewed The standard normal distribution is right-skewed The mean of the standard normal distribution is 1
A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. What are the exam scores that separate the top and bottom 5 percent of the class (extreme 10%) 2. What are the exams scores that separate the middle 10% of the class (5% on each side of the mean)? Use table below and draw normal distribution
The shaded region under a Normal distribution with mean 0 and standard deviation 1 (Standard Normal distribution) is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. mean Probability of z <+1.5 Probability of z-1.5 Probability of ze 1.5 Probability of z +1.5
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What is the mean of the curve in Figure (a)?What is the mean of the curve in Figure (b)?
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5 Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of −2.1. z-score -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 Percentile 0.13 0.19 0.26 0.35 0.47 0.62 0.82 1.07 1.39 1.79 z-score -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 Percentile 2.28 2.87 3.59 4.46 5.48 6.68 8.08 9.68 11.51 13.57 z-score -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 Percentile 15.87 18.41 21.19 24.20 27.43 30.85 34.46 38.21 42.07 46.02 a. The percentage of data items that lie below the z-score is ___%. b. The percentage of data items that lie above the z-score is ___%
n a trial for the university athletics competition, one aims to estimate the mean chest size of the male athletes. A random sample of 70 male athletes gave rise to an average chest size of 42 inches with a standard deviation of 16 inches. What would be the distribution of the statistic that we need to estimate the mean chest size? a. It is a normal distribution with mean 42 inches and standard deviation 16 inches. b. it is a student's t distribution with degree of freedom 69. c. It is a student's t distribution with mean 42 inches and standard deviation 16 inches. d. it is a normal distribution with degree of freedom 69. 2.What is the standard error of the sample mean in problem 1? a. 1.91 b. 0.23 c. 17.5 d. 16 3. What would be the margin of error for a 95% confidence interval of the true chest size in problem 1? a. 0.46 b. 0.52 c. 3.82 d. 4.38
Which of the following statements are TRUE about the normal distribution? Check all that apply. __ The area to the left of a z-score plus the area to the right of that same z-score will always equal 1. __ A data value with z-score = -1.5 standard devaitions below the mean. __ The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. __ A z-score is the number of standard deviations a specific data values is from the mena of the distribution. __ The mean corresponds to the z-score of 1.
Parts a-c

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13) What is the mean of the normal distribution shown here? 0.3 0.2 0.1 -2 2 3 8