Accordingly, let us assume you have a computer program that gives you random numbers between 1 and 10 (e.g. 1.45). All numbers have the same chance to be drawn. The distribution is uniform (or flat). If you take samples with 100 scores in each sample, how does the shape of the distribution of sample means qualitatively look like? If you take samples that consists of a single score such that the sample mean of each sample is given by its score, how does the shape of the distribution of sample means look like? What happens between these two extreme cases? I.e., what happens with the shape of the distribution of sample means if you increase the sample size from a sample size of 1 towards a sample size of 100

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Accordingly, let us assume you have a computer program that gives you random numbers between 1 and 10 (e.g. 1.45). All numbers have the same chance to be drawn. The distribution is uniform (or flat). If you take samples with 100 scores in each sample, how does the shape of the distribution of sample means qualitatively look like? If you take samples that consists of a single score such that the sample mean of each sample is given by its score, how does the shape of the distribution of sample means look like? What happens between these two extreme cases? I.e., what happens with the shape of the distribution of sample means if you increase the sample size from a sample size of 1 towards a sample size of 100

Expert Solution
Step 1

From the given information,

It is provided to us that computer program produce random numbers between 1 to 10 ( i.e any number number like 2,1.45 ,4 etc).

Further, all random numbers have the probability of equally being selected as the distribution is uniform.

A distribution of values that cluster around an average (referred to as the “mean”) is known as a “normal” distribution.

Statistics homework question answer, step 1, image 1

 

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman