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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.)

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
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
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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