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 (Update, Virginia Department of Transportation, Winter 2000). One of the experts claims that driving conditions are dangerous if the variance of speeds exceeds 80 (mph)2. On a heavily traveled highway, a random sample of 52 cars revealed a mean and a variance of speeds of 58.5 mph and 85.4(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 80 (mph)2. multiple choice 1 H0: σ2 ≤ 80; HA: σ2 > 80 H0: σ2 ≥ 80; HA: σ2 < 80 H0: σ2 = 80; HA: σ2 ≠ 80 b-1. Find the p-value. multiple choice 2 p-value 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025 p-value < 0.01 b-2. At the 10% significance level, can you conclude that driving conditions are dangerous on this highway? multiple choice 3 Do not reject H0; we cannot conclude the variance of the speeds is greater than 80 mpg2. Reject H0; we can conclude the variance of the speeds is greater than 80 mpg2. Do not reject H0; we can conclude the variance of the speeds is greater than 80 mpg2. Reject H0; we cannot conclude the variance of the speeds is greater than 80 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

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Exercise 11-17 Algo

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 (Update, Virginia Department of Transportation, Winter 2000). One of the experts claims that driving conditions are dangerous if the variance of speeds exceeds 80 (mph)². On a heavily traveled highway, a random sample of 52 cars revealed a mean and a variance of speeds of 58.5 mph and 85.4(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 80 (mph)².

multiple choice 1

H₀: σ² ≤ 80; H_A: σ² > 80
H₀: σ² ≥ 80; H_A: σ² < 80
H₀: σ² = 80; H_A: σ² ≠ 80

b-1. Find the p-value.

multiple choice 2

p-value

0.10
0.05

p-value < 0.10
0.025

p-value < 0.05
0.01

p-value < 0.025
p-value < 0.01

b-2. At the 10% significance level, can you conclude that driving conditions are dangerous on this highway?

multiple choice 3

Do not reject H₀; we cannot conclude the variance of the speeds is greater than 80 mpg².
Reject H₀; we can conclude the variance of the speeds is greater than 80 mpg².
Do not reject H₀; we can conclude the variance of the speeds is greater than 80 mpg².
Reject H₀; we cannot conclude the variance of the speeds is greater than 80 mpg²

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