Each of the following are characteristics of the samplingdistribution of the mean except: a. The samplingdistribution of the mean has the same mean as theoriginal population. b. If the original population isnormally distributed, the sampling distribution of themean will also be normal. c. If the original population isnot normally distributed, the sampling distribution of themean will also be approximately normal for large samplesizes. d. The standard deviation of the samplingdistribution of the mean is referred to as the standarderror. e. All of these choices are characteristics of thesampling distribution of the mean.

option a)The sampling distribution of the mean has the same mean as the original population. this…

Answered: Each of the following are…

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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Alex wants to find out: if the standard deviation of the mean for the sampling distribution of random samples of size 256 from a large or infinite population is 9, how large must the sample size become if the standard deviation is to be reduced to 2.7 (or even smaller)?
Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. a. The symbol for sample standard deviation is b. The symbol for population standard deviation is c. The symbol for sample variance is d. The symbol for population variance is
Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. If sample data consist of weights measured in grams, what units are used for these statistics and parameter a. The symbol for sample standard deviation is b. The symbol for population standard deviation is c. The symbol for sample variance is d. The symbol for population variance is If sample data consist of weights measured in grams, then correctly complete the following sentences. a. The unit for sample standard deviation would be b. The unit for population standard deviation would be C. The unit for sample variance would be ▼ d. The unit for population variance would be ▼ C
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
A vertical line is drawn through a normal distribution so that 47.5% of the distribution is located between the line and the mean. The line is drawn at z = 1,96 or at z = -1.96. Question 13 options: True or False
The annual salary for one particular occupation is normally distributed, with a mean of about $132,000 and a standard deviation of about $16,000. Random samples of 26 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.
A population has a mean = 73 and a standard deviation σ = 22. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=240. 1x = (Simplify your answer.)
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For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 94, 93, 97. Use a sample size of 3. The mean of the population is (Round to two decimal places as needed.) C
Assume a population of 3, 4, and 11. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 3,4 3,3 a. Find the value of the population standard deviation o. S ▼ 3,11 ▼ ■ 1 | 4,3 4,4 C (Round to three decimal places as needed.) b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations. Probability (Type integers or fractions.) c. Find the mean of the sampling distribution of the sample standard deviations. The mean of the sampling distribution of the sample standard deviations is. 4,11 11,3 11,4 11,11
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