The average number of accidents at controlled intersections per year is 5.4. Is this average more for intersections with cameras installed? The 47 randomly observed intersections with cameras installed had an average of 5.9 accidents per year and the standard deviation was 1.08. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: P H₁: > > < c. The test statistic t = 3.174 5.4 5.4 (please show your answer to 3 decimal places.)
The average number of accidents at controlled intersections per year is 5.4. Is this average more for intersections with cameras installed? The 47 randomly observed intersections with cameras installed had an average of 5.9 accidents per year and the standard deviation was 1.08. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: P H₁: > > < c. The test statistic t = 3.174 5.4 5.4 (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
Related questions
Question

Transcribed Image Text:Microsoft Word -...
#
The average number of accidents at controlled intersections per year is 5.4. Is this average more for
intersections with cameras installed? The 47 randomly observed intersections with cameras installed had an
average of 5.9 accidents per year and the standard deviation was 1.08. What can be concluded at the a =
0.01 level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Ho: V =
H₁: >
5.4
c. The test statistic t = 3.174 (please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? a
f. Based on this, we should
g. Thus, the final conclusion is that ...
80
F3
V 5.4
Select an answer the null hypothesis.
O The data suggest that the populaton mean is significantly more than 5.4 at a = 0.01, 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 5.4 accidents.
O The data suggest that the population mean is not significantly more than 5.4 at a = 0.01, 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 5.4 accidents.
with cam ed is mo
O The data suggest that the sample mean is not significantly more than 5.4 at a = 0.01, 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 5.9 accidents.
h. Interpret the p-value in the context of the study.
000
000
F4
O There is a 0.13407982 % chance that the population mean number of accidents per year at
intersections with cameras installed is greater than 5.4.
O There is a 0.13407982 % chance of a Type I error.
O If the population mean number of accidents per year at intersections with cameras installed is
5.4 and if another 47 intersections with cameras installed are observed then there would be a
0.13407982% chance that the population mean number of accidents per year at intersections
with cameras installed would be greater than 5.4.
O If the population mean number of accidents per year at intersections with cameras installed is
5.4 and if another 47 intersections with cameras installed are observed then there would be a
0.13407982% chance that the sample mean for these 47 intersections with cameras installed
would be greater than 5.0
F5
F6
AA
F7
DII
F8
8
F9
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman