A corporation is trying to decide which of three makes of automobile to order for its fleet—domestic, Japanese, or European. Five cars of each type were ordered, and, after 10,000 miles of driving, the operating cost per mile of each was assessed. The accompanying results in cents per mile were obtained. Domestic Japanese European 18.0 20.1 19.3 15.6 15.6 15.4 15.4 16.1 15.1 19.1 15.3 18.6 16.9 15.4 16.1 a. Prepare the analysis of variance table for these data. b. Test the null hypothesis that the population mean operating costs per mile are the same for these three types of car. c. Compute the minimum significant difference and indicate which subgroups have different means.
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.
A corporation is trying to decide which of three makes of automobile to order for its fleet—domestic, Japanese, or European. Five cars of each type were ordered, and, after 10,000 miles of driving, the operating cost per mile of each was assessed. The accompanying results in cents per mile were obtained.
Domestic Japanese European
18.0 20.1 19.3
15.6 15.6 15.4
15.4 16.1 15.1
19.1 15.3 18.6
16.9 15.4 16.1
a. Prepare the analysis of variance table for these data.
b. Test the null hypothesis that the population mean operating costs per mile are the same for these three types of car.
c. Compute the minimum significant difference and indicate which subgroups have different means.
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