200DOWhat is the Central Limit Theorem? When does it apply?Suppose that many random samples of size n for a variable are taken and the distribution of means of each sample isrecorded. Select all statements that are part of the Central Limit Theorem below.%5A. The distribution of means will be approximately a normal distribution.B. The standard deviation of the distribution of means approaches o/√n, where is the standard deviation of thepopulation.C. The standard deviation of the distribution of means approaches o, where o is the standard deviation of thepopulation.D. The mean of the distribution of means approaches the population mean, μ/√n.E. The mean of the distribution of means approaches the population mean, μ.The distribution of means will approximately follow the distribution of the variable being sampled.9F5OCT15< 6...MacBook AirF6&7◄◄F7*8tvDIIF8Clear all19(9DDF9)- OFinal checkA1F10—

It is given that the statement about to the Central limit theorem.

Answered: Suppose that many random samples of…

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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Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If σ1 ≥ σ2, then which of P (0 ≤ x ≤ σ1) and P (0 ≤ x ≤ σ2) is bigger? Explain your answer.
CALL CENTERExcopt for PANAMA) 1-800-SAMSUNG (1-800-726-75 6. For a population with a mean of u = 100 and a standard deviation of o = 20, a. Find the z-score for each of the following X values. X = 108 X = 115 X = 130 %3D %3D %3D X = 90 b. Find the score (X value) that corresponds to each of the following z-scores. X = 88 X = 95 z = -0.40 z = -0.50 z = 1.80 z = 0.75 Z = 1.50 Z = -1.25
State the Central Limit Theorem. Choose the correct answer below. A. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a O normal distribution with mean μ = μ and standard deviation = ox= √n B. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be a uniform O distribution with mean μ = μ and standard deviation = X n O C. For a random sample of n observations selected from a population with mean µ and standard deviation o, when n>4, the sampling distribution of x will be exactly a normal distribution with O mean μ = μ and standard deviation o- = X √n D. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a…
Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
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On an exam with u = 52, you have a score of X = 56. Which value for the standard deviation would give you the highest position in the class distribution?
Suppose a sample of size n is drawn from a population where the population standard deviation is known. In order to use the Central Limit Theorem, we would have to know that A n > 30 B The population is normally distributed. C n > 30 OR the population is normally distributed D n > 30 AND the population is normally distributed
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 113 pounds and a standard deviation of 37.7 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined.
A variable of a population has a mean of μ=100 and a standard deviation of σ=42 a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean ____ and standard deviation ____ b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. Normal distribution.B. No assumption was made.C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. No, the sampling distribution of the sample mean is never normal for sample size less than 30.B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.C. Yes, the sampling distribution of the sample mean is always normal.
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