Why is the standard deviation of the distribution of sample means smaller than the standard deviation ofthe population from which it came?Select all that apply.O According to the central limit theorem, we divide the population standard deviation o by the squareroot of the sample size n, so as n gets bigger the quotient gets smaller.O Since we are only graphing the averages of the samples, extremes like the minimum and maximum ofeach sample are not present, making the standard deviation of the sample means smaller than thestandard deviation of the population.O The standard deviation of the distribution of sample means is smaller than the standard deviation ofthe population because a sample is always small than the population.

Since we know that the Central limit theorem is defined as for a large enough sample size that is…

Answered: Why is the standard deviation of the…

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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Use these statements for 8-10. Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of size n=49 are drawn What would be the mean and standard deviation of the distribution?
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 $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over…
B5
Let a population consist of the values 7 cigarettes, 20 cigarettes, and 21 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
Let a population consist of the values 7 cigarettes, 8 cigarettes, and 19 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? Calculate the mean absolute deviation for each possible sample of size 2 from the population. Sample Mean Absolute Deviation {7,7} {7,8} 0 0.5 6 {7,19} {8,7} 0.5 {8,8} 0 {8,19} 5.5 {19,7} 6 {19,8} 5.5 {19,19} 0 (Type integers or decimals rounded to one decimal place as needed.) Calculate the mean of the sample mean absolute deviations. The mean of the sample mean absolute deviations is (Type an integer or decimal rounded to one decimal place as needed.) 2 9
Assume that a randomly selected subject is given a bone density test Those test scores are normally distributed with a mean of 0 and a standard deviation of 1 Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 8% and highest 8%, indicating levels that are too low or too high, respectively S he regie Choose correct graph below. OB. OC. OD. The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)
Let a population consist of the values 7 cigarettes, 21 cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? Calculate the mean absolute deviation for each possible sample of size 2 from the population. Sample Mean Absolute Deviation {7,7} __ {7,21} __ {7,22} __ {21,7} __ {21,21} __ {21,22} __ {22,7} __ {22,21} __ {22 ,22}
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 $229 with a standard deviation of $63. Random samples of size 24 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 130, while the mean score was 71 and the standard deviation was 13. 32 45 97 110 58 71 84 Distribution of Test Scores Q What is the approximate percentage of students who scored less than 45 on the test? What is the approximate percentage of students who scored between 71 and 84 on the test? What is the approximate percentage students who scored between 58 and 84 on the test? What is the approximate percentage of students who scored between 45 and 97 on the test?
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