2. A research firm tests the miles per gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) is given in Table 2. Table 2 Gasoline Brands Automobiles I II II А E a. How many factors and treatments involved in the study? State the factors and list all the possible treatments b. State the independent and dependent variables c. You are required to randomly generate data to fill up Table 2 using random number generator in Microsoft Excel. Please follow the following requirements: i The data value should be within the range (18, 34). i1. The number of data for each treatment must be the same. (at least two data for each treatment)

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2. A research firm tests the miles per gallon characteristics of three brands of gasoline.
Because of different gasoline performance characteristics in different brands of
automobiles, five brands of automobiles are selected and treated as blocks in the
experiment; that is, each brand of automobile is tested with each type of gasoline. The
results of the experiment (in miles per gallon) is given in Table 2.
Table 2
Gasoline Brands
Automobiles
I
II
III
A
B
D
E
a. How many factors and treatments involved in the study? State the factors and list
all the possible treatments
b. State the independent and dependent variables
c. You are required to randomly generate data to fill up Table 2 using random number
generator in Microsoft Excel. Please follow the following requirements:
i. The data value should be within the range (18, 34).
11.
The number of data for each treatment must be the same. (at least two data
for each treatment)
d. Based on your answer in (c), is there any interaction effect between automobiles
and gasoline brands on the miles per gallon at 6% significance level. Use Microsoft
Excel and P-value approach to solve this problem.
Transcribed Image Text:2. A research firm tests the miles per gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) is given in Table 2. Table 2 Gasoline Brands Automobiles I II III A B D E a. How many factors and treatments involved in the study? State the factors and list all the possible treatments b. State the independent and dependent variables c. You are required to randomly generate data to fill up Table 2 using random number generator in Microsoft Excel. Please follow the following requirements: i. The data value should be within the range (18, 34). 11. The number of data for each treatment must be the same. (at least two data for each treatment) d. Based on your answer in (c), is there any interaction effect between automobiles and gasoline brands on the miles per gallon at 6% significance level. Use Microsoft Excel and P-value approach to solve this problem.
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