The Braking Distance of 8 Volkswagen GTIs and 10 Ford Focuses were tested when traveling at 60 miles per hour on dry pavement. The results are shown below. Can you conclude that there is a difference in the mean braking distances of the two types of cars? Use α=0.01. Assume the population are normally distributed and the population variances are not equal. (See attached image.)
The Braking Distance of 8 Volkswagen GTIs and 10 Ford Focuses were tested when traveling at 60 miles per hour on dry pavement. The results are shown below. Can you conclude that there is a difference in the mean braking distances of the two types of cars? Use α=0.01. Assume the population are normally distributed and the population variances are not equal. (See attached image.)
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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The Braking Distance of 8 Volkswagen GTIs and 10 Ford Focuses were tested when traveling at 60 miles per hour on dry pavement. The results are shown below. Can you conclude that there is a difference in the mean braking distances of the two types of cars? Use α=0.01. Assume the population are normally distributed and the population variances are not equal. (See attached image.)
1. State the alternative hypothesis.
a. Ha : μ1 < μ2
b. Ha : μ1 > μ2
c. Ha : μ1 ≠ μ2
2. Level of Significance.
a. α = 0.1
b. α = 0.01
c. α = 0.001
d. β = 0.01
3. Critical Value/s and Rejection Region/s
a. Tc = ±1.645
b. Tc = ±1.833
c. Tc = ±3.496
d. Tc = ±3.499
4. Decision Rule.
a. Reject the Null Hypothesis if Tc > 1.645 or Tc < -1.645
b. Reject the Null Hypothesis if Tc > 1.833 or Tc < -1.833
c. Reject the Null Hypothesis if Tc > 3.496 or Tc < -3.496
d. Reject the Null Hypothesis if Tc > 3.499 or Tc < -3.499
5. Test statistics.
a. Tc = -2.61
b. Tc = - 4.38
c. Tc = -3.5
d. Tc = 3.5
6. Decision.
a. Reject Ho and Accept Ha
b. Accept Ho and Reject Ha
![x₁ = 134
$₁ = 6.9
n₁ = 8
Volkswagen GTIS
x₂ = 143
$₂=2.6
1₂ = 10
Ford Focus](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62852846-3efc-4d1b-83bf-13ae0a8df298%2F5733a7df-e8a7-41c0-b19d-06a27ea41e8f%2Ffpo6hfe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x₁ = 134
$₁ = 6.9
n₁ = 8
Volkswagen GTIS
x₂ = 143
$₂=2.6
1₂ = 10
Ford Focus
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