d) Show that an alternate formula for a z-interval of the population mean is: E(x – 1)² n·x2

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

Please help me with part d) of the question. 

d) Show that an alternate formula for a z-interval of the population mean is:

Given these four equations:
E(x – 1)2
S =
п — 1
п — 1
0/Vn
n -
1
t = z1
a) Show that the sample variance, s?, is:
п — 1
n² – n
b) Show that the x? value is:
x – x
Σ
c) Show that the test statistic (or t-value) is:
d) Show that an alternate formula for a z-interval of the population
mean is:
Σ-)
n:x²
Transcribed Image Text:Given these four equations: E(x – 1)2 S = п — 1 п — 1 0/Vn n - 1 t = z1 a) Show that the sample variance, s?, is: п — 1 n² – n b) Show that the x? value is: x – x Σ c) Show that the test statistic (or t-value) is: d) Show that an alternate formula for a z-interval of the population mean is: Σ-) n:x²
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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