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

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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…
The Central Limit Theorem says that the standard deviation of the sampling distribution of the sample means is (A exactly equal to the standard deviation. (B close to the population mean if the sample size is small close to the population standard deviation if the sample size is large. equal to the population standard deviation divided by the square root of the sample D size.
Suppose that scores on a particular test are normally distributed with a mean of 140 and a standard deviation of 18. What is the minimum score needed to be in the top 10% of the scores on the test? Carry your intermedlate computations to.at least four decimal places, and round your answer to one decimal place. Continue ace esc & # 24 @ 7 4 2 t y r e
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 117 pounds and a standard deviation of 39.4 pounds. Random samples of size 15 are drawn from this population and the mean of each sample is determined. 4-0 0 = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. O A. A 96.7 117 137.3 Q O B. A 340.8 10.2 361.2 Q Q ww ^ A -106.8 10.2 127.2 86.5 117 147.5 O C. O D. Q
Q6
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
A student takes a true-false test that has 10 questions and guesses randomly at each answer. LetX be the number of questions answered correctly. c)The mean and stand deviation of X (show work and round final answer to 2 decimal places) Mean: Standard deviation =
3
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution, Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $249 with a standard deviation of $57, Random samples of size 32 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 20% of σ. Is this sample size practical? A.No, because the sample size should be as small possible for most applications B.Yes, because the sample size should be as large as possible for most applications. C.No, because the sample size is excessively large to be practical for most applications. D.Yes, because the sample size is small enough to be practical for most applications
Which of the following descriptions best illustrate the central limit theorem? I. The central limit theorem is used to approximate the distribution of the sample mean over the distribution of the population mean. II. The central limit theorem is used to conclude that the distribution of the sample mean will be normal if the sample size is sufficiently large even if the population is not normally distributed. III. The central limit theorem is used to describe the normality of the distribution of standard deviation taken from a variance that is not normally distributed. a. I and II b. I only c. I, II, III d. II only

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