Respuesta :
Answer:
For this case the factor would be:
Road conditions
Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.
Step-by-step explanation:
Previous concepts
By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have [tex]p[/tex] groups and on each group from [tex]j=1,\dots,p[/tex] we have [tex]n_j[/tex] individuals on each group we can define the following formulas of variation:
[tex]SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 [/tex]
[tex]SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 [/tex]
[tex]SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 [/tex]
And we have this property
[tex]SST=SS_{between}+SS_{within}[/tex]
Solution to the problem
For this case the factor would be:
Road conditions
Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.
Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.
And for this case we can use a one way ANOVA to test if the means are equal in the 3 groups.
We can test these five different cars on a particular conditions and collapse all the factors to conclude the best conditions for the tires.
A car company is testing a new type of tire.
There are three different conditions under which the tires of the car tested that are as follows:
- Light Rain.
- Light Snow.
- Dry Conditions.
There are five different randomly selected cars to test the tires on the above mentioned three conditions.
For all the five cars, the speed reached to 60 mph and the braking applied to stop the car. Yes, for a different cars the braking systems are different. It may observed that some cars are doing good in light rain and snow conditions as compared to other cars but in dry conditions it is different.
We can test these five different cars on a particular conditions and collapse all the factors to conclude the best conditions for the tires.
To know more about it, please refer to the link:
https://brainly.com/question/23446266
