The octane number, Y, of refined petroleum is related to the temperature, x, of the refining process. An experiment with sample size n = 11 gave a fitted least-squares line of with V(1) (0.0193)². = ŷ = 4.265+0.190x, a. Give the test statistic you should use to test Ho: B₁ = 1,0 vs. Ha: ẞ₁ ẞ1,0 for some fixed value ẞ1,0. Briefly explain your choice. [Hint: with the information provided, determine whether you should use a Z or at statistic.] b. Use your result from part (a) to test the hypothesis that the slope coefficient, ẞ1, is significantly different from 0 at significance level α = 0.05.

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 don't use generated AI

The octane number, Y, of refined petroleum is related to the temperature, x, of the
refining process. An experiment with sample size n = 11 gave a fitted least-squares
line of
with V(1) (0.0193)².
=
ŷ = 4.265+0.190x,
a. Give the test statistic you should use to test Ho: B₁ = 1,0 vs. Ha: ẞ₁ ẞ1,0 for
some fixed value ẞ1,0. Briefly explain your choice. [Hint: with the information
provided, determine whether you should use a Z or at statistic.]
b. Use your result from part (a) to test the hypothesis that the slope coefficient,
ẞ1, is significantly different from 0 at significance level α = 0.05.
Transcribed Image Text:The octane number, Y, of refined petroleum is related to the temperature, x, of the refining process. An experiment with sample size n = 11 gave a fitted least-squares line of with V(1) (0.0193)². = ŷ = 4.265+0.190x, a. Give the test statistic you should use to test Ho: B₁ = 1,0 vs. Ha: ẞ₁ ẞ1,0 for some fixed value ẞ1,0. Briefly explain your choice. [Hint: with the information provided, determine whether you should use a Z or at statistic.] b. Use your result from part (a) to test the hypothesis that the slope coefficient, ẞ1, is significantly different from 0 at significance level α = 0.05.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

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