(Q4). You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect.             (a) What type of hypothesis test will you use? (b) What are H0 and Ha? Write them both mathematically and in words. (c) You run the analysis and the p-value is 0.0001 and α = 0.001, and β = 0.9. If you reject H0, what is the probability that you made the wrong decision in this case? (d) You run the analysis and the p-value is 0.9, α = 0.001 and β = 0.01. If you fail to reject H0, What is the probability that you made the wrong decision in this case? (e) Under what conditions could an expert witness give the following statement based solely on lead bullet statistical evidence: “The bullet fragments must have come from the same box or from another box that would have been made by the same company on the same day.”

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

(Q4). You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect.

           

(a) What type of hypothesis test will you use?

(b) What are H0 and Ha? Write them both mathematically and in words.

(c) You run the analysis and the p-value is 0.0001 and α = 0.001, and β = 0.9. If you reject H0, what is the probability that you made the wrong decision in this case?

(d) You run the analysis and the p-value is 0.9, α = 0.001 and β = 0.01. If you fail to reject H0, What is the probability that you made the wrong decision in this case?

(e) Under what conditions could an expert witness give the following statement based solely on lead bullet statistical evidence: “The bullet fragments must have come from the same box or from another box that would have been made by the same company on the same day.”         

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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