Answered: The first experiment I created 200…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The first experiment I created 200 samples with 10 students in each and took each sample's mean. The mean of this distribution was about 10.7 miles with a standard deviation of 3.7 miles. (See video)

Next I did 200 samples with 20 students each, then I did 200 samples with 50 students each and finally I did 200 samples with 100 students each. Watch the following video and answer the following questions about the sampling distributions being created.

1) For the samples with 100 students each, when the sampling is complete, what will the mean be close to or equal to?

2) For the samples with 100 students each, when the sampling is complete, will the standard deviation be smaller than the standard deviation for the samples with 50 students each?

3) What is the mean of the population of students that I am randomly sampling from?

4) What is the name of the important theorem that I am demonstrating right now.?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step by step

Solved in 2 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions