OA research firm tests the miles-per-gallon characteristics of three brands of g

Question

OA research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brand 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 gasoli The results of the experiment (in miles per gallon) follow. Gasoline Brands IT 20 19 16 B 25 D 23 25 30 Automobiles 24 19 24 a. At a-.0s, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline? Sum of Degrees Mean Squares P-value (to 2 of of Square (to 2 Variance (to 2 decimals) Freedom (to 2 decimals) decimals) dedimals) Treatments Error Total The p-value is Select your answer-3 What is your conclusion?

Explanation / Answer

a)

The p-value is less than 0.05.

So, we can conclude the effects of gasoline performance differ significantly.

b)

Here p-value is greater than 0.05.

So, we can't reject the null hypothesis. So, we can conclude that the effects of gasoline performance are equal.

[Note: Please specify the options in the comments to get the answer to "What is the advantage of attempting to remove the block effect?"]

SSE is significantly larger in the Completely Randomized Design.

Source of Variation SS df MS F P-value Treatments 20.93333 2 10.46667 6.408163 0.021814 Blocks 244.9333 4 61.23333 37.4898 3.16E-05 Error 13.06667 8 1.633333 Total 278.9333 14

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