8. A sample of size 36 is drawn from a distribution with a mean of 24 and a standard deviation of 6.25. Based on the central limit theorem, the distribution of the sample mean is: a. Normal with a mean of 24 and a standard error of 6.25. b. Normal with a mean of 24 and standard error of 6.25/v36. c. Non-normal with a mean of 24 and standard error of 6.25/V36. d. Not able to be determined from the information given.

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
8. A sample of size 36 is drawn from a distribution with a mean of 24 and a standard deviation of 6.25. Based
on the central limit theorem, the distribution of the sample mean is:
a. Normal with a mean of 24 and a standard error of 6.25.
b. Normal with a mean of 24 and standard error of 6.25/V36.
c. Non-normal with a mean of 24 and standard error of 6.25/V36.
d. Not able to be determined from the information given.
Transcribed Image Text:8. A sample of size 36 is drawn from a distribution with a mean of 24 and a standard deviation of 6.25. Based on the central limit theorem, the distribution of the sample mean is: a. Normal with a mean of 24 and a standard error of 6.25. b. Normal with a mean of 24 and standard error of 6.25/V36. c. Non-normal with a mean of 24 and standard error of 6.25/V36. d. Not able to be determined from the information given.
Sample Mean:
X =
ΣΧ
Where
Σ
= sum (or add up)
sample mean
= total number of scores, or the sample size
=
n
For a population, mean is represented by the Greek letter mu (µ)
Population Variance:
g² = E (X -µ)²
N
Sample Variance:
s? = E(X-Xy
n - 1
Remember that the standard deviation (o or s) is the square root (v ) of the variance.
Z Score (for one score/individual):
Z = X -µ
Z Score: One Sample Z test:
Z =
= mean of sample
u = mean of population
O = standard deviation of population
n = sample size
In = square root of sample size
Transcribed Image Text:Sample Mean: X = ΣΧ Where Σ = sum (or add up) sample mean = total number of scores, or the sample size = n For a population, mean is represented by the Greek letter mu (µ) Population Variance: g² = E (X -µ)² N Sample Variance: s? = E(X-Xy n - 1 Remember that the standard deviation (o or s) is the square root (v ) of the variance. Z Score (for one score/individual): Z = X -µ Z Score: One Sample Z test: Z = = mean of sample u = mean of population O = standard deviation of population n = sample size In = square root of sample size
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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