Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical factor in determining the likelihood of an accident occurring. One of the experts claims that driving conditions are dangerous if the variance of speeds exceeds 76 (mph) 2. On a heavily traveled highway, a random sample of 53 cars revealed a mean and a variance of speeds of 62.5 mph and 96.4 (mph) 2, respectively. (You may find it useful to reference the appropriate table: chi-square table or Ftable) a. Select the competing hypotheses to test if the variance of speeds exceeds 76 (mph) 2. He: 0² ≤ 76; HA: 0² > 76 He: 0² 76; HA: 0² < 76 H₂: 02 = 76; HA: 0² # 76 b-1. Find the p-value. O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 20.10 b-2. At the 10% significance level, can you conclude that driving conditions are dangerous on this highway? Reject Ho; we can conclude the variance of the speeds is greater than 76 mpg². Do not reject He; we cannot conclude the variance of the speeds is greater than 76 mpg². Reject He; we cannot conclude the variance of the speeds is greater than 76 mpg². O Do not reject Ho; we can conclude the variance of the speeds is greater than 76 mpg².

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
100%
Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical factor in
determining the likelihood of an accident occurring. One of the experts claims that driving conditions are dangerous if the variance of
speeds exceeds 76 (mph) 2. On a heavily traveled highway, a random sample of 53 cars revealed a mean and a variance of speeds of
62.5 mph and 96.4 (mph) 2, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)
a. Select the competing hypotheses to test if the variance of speeds exceeds 76 (mph) ².
0² ≤ 76; HA: 0² > 76
HØ:
Ho: 0²2 76; HA: 0² < 76
He: 0²
= 76; HA: 0² # 76
b-1. Find the p-value.
O 0.05 ≤ p-value < 0.10
0.025 s p-value < 0.05
0.01 p-value < 0.025
O p-value < 0.01
O p-value > 0.10
b-2. At the 10% significance level, can you conclude that driving conditions are dangerous on this highway?
Reject Ho; we can conclude the variance of the speeds is greater than 76 mpg².
Do not reject Ho; we cannot conclude the variance of the speeds is greater than 76 mpg².
Reject Ho; we cannot conclude the variance of the speeds is greater than 76 mpg².
Do not reject Ho; we can conclude the variance of the speeds is greater than 76 mpg².
Transcribed Image Text:Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical factor in determining the likelihood of an accident occurring. One of the experts claims that driving conditions are dangerous if the variance of speeds exceeds 76 (mph) 2. On a heavily traveled highway, a random sample of 53 cars revealed a mean and a variance of speeds of 62.5 mph and 96.4 (mph) 2, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Select the competing hypotheses to test if the variance of speeds exceeds 76 (mph) ². 0² ≤ 76; HA: 0² > 76 HØ: Ho: 0²2 76; HA: 0² < 76 He: 0² = 76; HA: 0² # 76 b-1. Find the p-value. O 0.05 ≤ p-value < 0.10 0.025 s p-value < 0.05 0.01 p-value < 0.025 O p-value < 0.01 O p-value > 0.10 b-2. At the 10% significance level, can you conclude that driving conditions are dangerous on this highway? Reject Ho; we can conclude the variance of the speeds is greater than 76 mpg². Do not reject Ho; we cannot conclude the variance of the speeds is greater than 76 mpg². Reject Ho; we cannot conclude the variance of the speeds is greater than 76 mpg². Do not reject Ho; we can conclude the variance of the speeds is greater than 76 mpg².
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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