QUESTION 1 Match each of the following scenarios with the analysis technique bes
ID: 3276223 • Letter: Q
Question
QUESTION 1
Match each of the following scenarios with the analysis technique best suited for the scenario.
The Environmental Protection Agency wants to model the relationship between vehicle weight and gas mileage. So they collect mileage figures from several different vehicles with different weights.
A car manufacturer wants to understand which factors most affect a car's gas mileage. So they select weight, length, wheel diameter, and engine displacement as factors to test. They take all possible combinations of high and low values of each factor, configure a car with each combination of values, and measure its mileage. Now they want to understand how to adjust these factors to get the best mileage.
Car models from four manufacturers that are comparable in terms of length and weight are tested to determine their gas mileage by randomly selecting 10 cars from each manufacturer. Then a statistical analysis is used to determine if one manufacturer's model gets better gas mileage than the models of the other manufacturers.
A consumer magazine tests an additive that is claimed to improve gas mileage for a car. From a group of 12 cars, six are randomly selected to use an entire tank of gas with the additive, while their mileage is measured, and the other six are selected to use an entire tank of gas without the additive while their mileage is measured. Then, the six cars that had the additive will use a second tank without the additive and vice versa, and the gas mileage will be measured again. Then a statistical analysis is used to determine if the additive improved gas mileage significantly.
The Environmental Protection Agency wants to know how many test runs it will take to get the mileage figure for a given car model that is within 1 mile per gallon of the actual mileage for that model.
A car manufacturer must verify that the car models produced at their plant have an overall average gas mileage that meets or exceeds a government requirement for minimum mileage. So engineers randomly select 30 cars coming from the assembly plant and measure their mileage for one tank of gas.
The possible answers are:
A.ANOVA
B.Linear Regression
C.Paired t-test
D.Confidence Interval on the Mean
E.Experimental Design
F.Hypothesis Test on the Mean-Variance Unknown
Could you also provide a quick explanation on why you think it is the specfic selection.
The Environmental Protection Agency wants to model the relationship between vehicle weight and gas mileage. So they collect mileage figures from several different vehicles with different weights.
A car manufacturer wants to understand which factors most affect a car's gas mileage. So they select weight, length, wheel diameter, and engine displacement as factors to test. They take all possible combinations of high and low values of each factor, configure a car with each combination of values, and measure its mileage. Now they want to understand how to adjust these factors to get the best mileage.
Car models from four manufacturers that are comparable in terms of length and weight are tested to determine their gas mileage by randomly selecting 10 cars from each manufacturer. Then a statistical analysis is used to determine if one manufacturer's model gets better gas mileage than the models of the other manufacturers.
A consumer magazine tests an additive that is claimed to improve gas mileage for a car. From a group of 12 cars, six are randomly selected to use an entire tank of gas with the additive, while their mileage is measured, and the other six are selected to use an entire tank of gas without the additive while their mileage is measured. Then, the six cars that had the additive will use a second tank without the additive and vice versa, and the gas mileage will be measured again. Then a statistical analysis is used to determine if the additive improved gas mileage significantly.
The Environmental Protection Agency wants to know how many test runs it will take to get the mileage figure for a given car model that is within 1 mile per gallon of the actual mileage for that model.
A car manufacturer must verify that the car models produced at their plant have an overall average gas mileage that meets or exceeds a government requirement for minimum mileage. So engineers randomly select 30 cars coming from the assembly plant and measure their mileage for one tank of gas.
The possible answers are:
A.ANOVA
B.Linear Regression
C.Paired t-test
D.Confidence Interval on the Mean
E.Experimental Design
F.Hypothesis Test on the Mean-Variance Unknown
Explanation / Answer
QUESTION 1:
(B) Linear regression
EXPLANATION: Here we are going to find the relationship between vehicle weight and gas mileage. Only two variables are there so that we use linear regression
(E) Experimental Design
EXPLANATION:Here for finding the better and most influencing factors on gas mileage we have to use designs
(A)ANOVA
EXPLANTION: Analysis of variance is used test the equality of several means
(C) Paired -t test
EXPLANATION: It is used test the mean difference (additive and non additive)
(D) Confidence Interval on the Mean
EXPLANATION: Confidence Interval on the Mean
(F) Hypothesis Test on the Mean-Variance Unknown
EXPLANATION: Here we are testing the mean mileage so that we are using test for single mean
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