- B.Consider all samples of size 5 from this population:25681012 13Compute the mean (u) and standard deviation (o) of the population.List all samples of size 5 and compute the mean (X) for each sample.SamplesMean1.2.3.4.5.Construct the sampling distribution of the sample means.Sampling Distribution of Sample MeansFrequencySample Mean XProbability P(X)Calculate the mean (H₂) of the sampling distribution of the sample meansCompare this to the mean of the population.Calculate the standard deviation () of the sampling distribution of thesample means. Compare this to the standard deviation of the population.

Given that, The population contains: 2 5 6 8 10 12 13 Sample size (n) = 7

Answered: 1. Compute the mean (u) 2. List all…

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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let x be a ramdom variable with mean= 150 and standard deviation =4.2. Ramdom samples of fixed size n=30 are drawn from the distribution of x. determine the distribution, mean, and standard deviation of sample mean
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 14 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth.
Suppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and standard deviation 3 inches. A sample of size n = 49 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the sample mean distribution?
5. The distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard deviation of 10 centimeters, whereas the distribution of heights of a certain breed of poodle has a mcan of 28 centimeters with a standard deviation of 5 centimcters. Assume the distributions of both types of breeds are normally distributed. (n) Suppose we are taking a random sample of 64 terriers. What is the sampling distri- bution of mean heights of the breed of terriers? (b) Find the probability that the sample mean for a random sample of heights of 61 terriers excoedls 75 centimetcrs. (c) Find the probability that the sample mean for a random sample of heights of 64 terriers excoeds the sample mean for a random sample of heights of 100 poodles by at lenst 44.2 centimeters.
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 111 pounds and a standard deviation of 37.8 pounds. Random samples of size 19 are drawn from this population and the mean of each sample is determined. 1₂ = 0 ...

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