Three different drivers (1, 2, and 3) drove three different models of automobile

Question

Three different drivers (1, 2, and 3) drove three different models of automobiles (1, 2, and 3) using three different blends of gasoline (A, B, and C). The response variable Y is average mileage (miles/gallon) during the test period The Latin square out is given below Use these data for Questions on this task. State the appropriate null and alternative hypotheses. For alpha = 0.05, specify the critical region for the test of hypothesis. Calculate the test statistic F find the P-value, and make a decision about Ho based on alpha = 0.05 Calculate and interpret the relative efficiency

Explanation / Answer

General Linear Model: MG versus Driver, Model, Gasoline

Factor Type Levels Values
Driver fixed 3 1, 2, 3
Model fixed 3 1, 2, 3
Gasoline fixed 3 A, B, C

Analysis of Variance for MG, using Adjusted SS for Tests

Source DF Seq SS Adj SS Adj MS F P
Driver 2 5.416 5.416 2.708 0.75 0.571
Model 2 483.529 483.529 241.764 67.14 0.015
Gasoline 2 53.136 53.136 26.568 7.38 0.119
Error 2 7.202 7.202 3.601
Total 8 549.282

S = 1.89766 R-Sq = 98.69% R-Sq(adj) = 94.76%

Since p value for model is 0.015 which is less than 0.05, only Model is significantly effecting the mileage.

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