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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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.
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