(a) Find a point estimate of μ1 – μ2.  Is the estimate biased or unbiased? (b) Find the estimated standard error the point estimate of μ1 – μ2? (c) Formulate and test the appropriate hypothesis at the α = 0.05 level.

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
Topic Video
Question

Consider that μ1 and μ2 are the true mean stopping distances for motorcycles at 30 mph equipped with two different sets of tires.

Tire set 1 is more expensive, so we only want to buy them if there is strong evidence that there is a mean stopping distance of at least 3 ft shorter at 30 mph. 

For Tire set 1, after nine tests, we get an x-bar1 of 110 ft and an s1 of 5 ft.

For Tire set 2, after eight tests, we get an x-bar2 of 120 ft and an s2 of 6 ft.

Assume that the distributions of stopping distances are roughly normal. 

(a) Find a point estimate of μ1 – μ2.  Is the estimate biased or unbiased?


(b) Find the estimated standard error the point estimate of μ1 – μ2?


(c) Formulate and test the appropriate hypothesis at the α = 0.05 level.

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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