Assume that you set α to 0.10 during the design phase of your study. -Calculate the degrees of freedom, and state the appropriate critical value of the test statistic. -State your final conclusion for this study based on α and the degrees of freedom. Please justify your answer.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
3. A gasoline company claims that they have a new super, high-octane fuel that improves the gas mileage of any vehicle, old or new. You decide to test this on your family’s vehicles. You find 10 sedans of various ages amongst your family members. Each car is fueled with the gas that your family members use regularly. The car is then driven until the tank is empty, and the miles per gallon is calculated for each car. Then, the same cars are filled with the “new” fuel and driven until empty. The miles per gallon for each car is again calculated. Your data are below.
car: 1,2,3,4,5,6,7,8,9,10
MPG on One Tank of “Normal” Fuel: 30,28,32,26,33,25,28,30,29,35
MPG on One Tanks of New Fuel: 31,28,36,28,33,26,30,30,31,34
Assume that you set α to 0.10 during the design phase of your study.
-Calculate the degrees of freedom, and state the appropriate critical value of the test statistic.
-State your final conclusion for this study based on α and the degrees of freedom. Please justify your answer.
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