Homework Help is Here – Start Your Trial Now!
Math
Statistics
In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and fourth coinage (variable Coin4) which was produced a number of years later. it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel's reign. You are about to investigate this question using a twO- sample t-interval. e COINS (2) MWX Two-Sample T-Test and CI: Coin1, Coin4 B COINS (2) MWX Two-Sample T-Test and Cl: Coin4, Coin Method Method mean of Coint Pz mean of Coind Difference u - Po L mean of Coin4 , mean of Coint Difference: u - Uz Equat vorionces ore ossumed for this anaiysis Equal voriances ore assumed for this analysis. Descriptive Statistics Descriptive Statistics Sample Coin1 Coind Mean StDev SE Mean 0.543 0.363 Sample Coin4 Coint 9 6.744 0.18 N Mean StDev SE Mean 5.614 0.14 0363 0543 5.614 0.14 6.744 0.18 Estimation for Difference Estimation for Difference Pooled 90% CI for StDev Difference 0474 (0.709, 1.551) Difference Pooled 90% Cl for Difference -1.130 1.130 StDev Difference 0.474 (-1.551. -0.709) Test Test Null hypothesis Alternative hypothesis H, ,- Hz # 0 He He - Hz = 0 Null hypothesis Alternative hypothesis T-Value DF P-Value Ho He - Hz = 0 T-Value DF P-Value 4,73 14 0.000 -4.73 14 0.000 (iv) What Would have been the outcome if you had obtained a 90% two-sample t-interval for E(X.) – E(X1) instead of for E(X1) – E((X.)? Justify your conclusion in terms of the derivative of the parameter transformation involved.

In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and fourth coinage (variable Coin4) which was produced a number of years later. it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel's reign. You are about to investigate this question using a twO- sample t-interval. e COINS (2) MWX Two-Sample T-Test and CI: Coin1, Coin4 B COINS (2) MWX Two-Sample T-Test and Cl: Coin4, Coin Method Method mean of Coint Pz mean of Coind Difference u - Po L mean of Coin4 , mean of Coint Difference: u - Uz Equat vorionces ore ossumed for this anaiysis Equal voriances ore assumed for this analysis. Descriptive Statistics Descriptive Statistics Sample Coin1 Coind Mean StDev SE Mean 0.543 0.363 Sample Coin4 Coint 9 6.744 0.18 N Mean StDev SE Mean 5.614 0.14 0363 0543 5.614 0.14 6.744 0.18 Estimation for Difference Estimation for Difference Pooled 90% CI for StDev Difference 0474 (0.709, 1.551) Difference Pooled 90% Cl for Difference -1.130 1.130 StDev Difference 0.474 (-1.551. -0.709) Test Test Null hypothesis Alternative hypothesis H, ,- Hz # 0 He He - Hz = 0 Null hypothesis Alternative hypothesis T-Value DF P-Value Ho He - Hz = 0 T-Value DF P-Value 4,73 14 0.000 -4.73 14 0.000 (iv) What Would have been the outcome if you had obtained a 90% two-sample t-interval for E(X.) – E(X1) instead of for E(X1) – E((X.)? Justify your conclusion in terms of the derivative of the parameter transformation involved.

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
100%
In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and fourth coinage (variable Coin4) which was produced a number of years later. it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel's reign. You are about to investigate this question using a two- sample t-interval. COINS (21.MWX Two-Sample T-Test and CI: Coin1, Coin4 A COINS (2)MWX Two-Sample T-Test and Cl: Coin4, Coin1 Method Method mean of Coin1 Pa mean of Coind Difference u- 4 mean of Coin4 z mean of Coint Difference: - Vz Equal variances ore assumed for this analysis Equal variances ore assumed for this analysis Descriptive Statistics Descriptive Statistics Sample N Mean StDev SE Mean 0.543 0.363 Sample Coin4 Coint N Mean StDev SE Mean 5.614 0363 0.543 Coin1 Coin4 0 18 6.744 5.614 0.14 0.14 0 18 6.744 Estimation for Difference Estimation for Difference Pooled 90% Cl for StDev Difference 0474 (0709 1551) Pooled 90% Cl for Difference 1.130 Difference -1.130 StDev Difference 0.474 (-1.551. -0,709) Test Test Null hypothesis Alternative hypothesis H - Hz #0 T-Value DF P-Value He -z =0 Null hypothesis Ho - Uz =O Alternative hypothesis H h - Pa#0 DF P-Value 0.000 4.73 14 0.000 T-Value -4.73 14 (iv) What Would have been the outcome if you had obtained a 90% two-sample t-interval for E(X.) - E(X1) instead of for E(X,) - E(QX.)? Justify your conclusion in terms of the derivative of the parameter transformation involved.
Transcribed Image Text:In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and fourth coinage (variable Coin4) which was produced a number of years later. it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel's reign. You are about to investigate this question using a two- sample t-interval. COINS (21.MWX Two-Sample T-Test and CI: Coin1, Coin4 A COINS (2)MWX Two-Sample T-Test and Cl: Coin4, Coin1 Method Method mean of Coin1 Pa mean of Coind Difference u- 4 mean of Coin4 z mean of Coint Difference: - Vz Equal variances ore assumed for this analysis Equal variances ore assumed for this analysis Descriptive Statistics Descriptive Statistics Sample N Mean StDev SE Mean 0.543 0.363 Sample Coin4 Coint N Mean StDev SE Mean 5.614 0363 0.543 Coin1 Coin4 0 18 6.744 5.614 0.14 0.14 0 18 6.744 Estimation for Difference Estimation for Difference Pooled 90% Cl for StDev Difference 0474 (0709 1551) Pooled 90% Cl for Difference 1.130 Difference -1.130 StDev Difference 0.474 (-1.551. -0,709) Test Test Null hypothesis Alternative hypothesis H - Hz #0 T-Value DF P-Value He -z =0 Null hypothesis Ho - Uz =O Alternative hypothesis H h - Pa#0 DF P-Value 0.000 4.73 14 0.000 T-Value -4.73 14 (iv) What Would have been the outcome if you had obtained a 90% two-sample t-interval for E(X.) - E(X1) instead of for E(X,) - E(QX.)? Justify your conclusion in terms of the derivative of the parameter transformation involved.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS