The average number of accidents at controlled intersections per year is 5.8.  Is this average more for intersections with cameras installed? The 48 randomly observed intersections with cameras installed had an average of 6 accidents per year and the standard deviation was 0.69. What can be concluded at the  αα = 0.05 level of significance?  For this study, we should use     The null and alternative hypotheses would be:       H0:H0:                   H1:H1:               The test statistic     =  (please show your answer to 3 decimal places.

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

The average number of accidents at controlled intersections per year is 5.8.  Is this average more for intersections with cameras installed? The 48 randomly observed intersections with cameras installed had an average of 6 accidents per year and the standard deviation was 0.69. What can be concluded at the  αα = 0.05 level of significance? 

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 H0:H0:                 

 H1:H1:              

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the population mean is not significantly more than 5.8 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is more than 5.8 accidents.
    • The data suggest that the populaton mean is significantly more than 5.8 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is more than 5.8 accidents.
    • The data suggest that the sample mean is not significantly more than 5.8 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean number of accidents per year at intersections with cameras installed is more than 6 accidents.
  6. Interpret the p-value in the context of the study.
    • If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 48 intersections with cameras installed are observed then there would be a 2.51955457% chance that the sample mean for these 48 intersections with cameras installed would be greater than 6.
    •  There is a 2.51955457% chance of a Type I error.
    • If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 48 intersections with cameras installed are observed then there would be a 2.51955457% chance that the population mean number of accidents per year at intersections with cameras installed would be greater than 5.8.
    • There is a 2.51955457% chance that the population mean number of accidents per year at intersections with cameras installed is greater than 5.8 .
  7. Interpret the level of significance in the context of the study.
    • There is a 5% chance that you will get in a car accident, so please wear a seat belt.
    • If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 48 intersections with cameras installed are observed then there would be a 5% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is more than 5.8.
    • There is a 5% chance that the population mean number of accidents per year at intersections with cameras installed is more than 5.8.
    • If the population population mean number of accidents per year at intersections with cameras installed is more than 5.8 and if another 48 intersections with cameras installed are observed then there would be a 5% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 5.8.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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