Question

Suppose an automobile manufacturer designed a new engine and needs to find the best grade of gasoline for the best (highest) miles per gallon. The four grades are regular, economy, premium, and super premium. The test car made three trial runs on the test track using each of the four grades. The miles per gallon were recorded for each grade. Put these data into Minitab (STAT>ANOVA>OneWay>(Response data are in separate columns) ) and answer the following questions. Use Hmwk1Prob1Data Should the researcher print out a Tukey Comparison to see which grades have higher or lower gas mileage?

Answer 1

If the output of the ANOVA table has a p-value less than the level of significance if considered 0.05 that means we will reject the null hypothesis of the ANOVA that is the miles per gallon for each grade is the same. Hence the researcher should print out a Tukey Comparison to see which grades have higher or lower gas mileage.

If the output of the ANOVA table has a p-value greater than the level of significance if considered 0.05 that means we will not reject the null hypothesis of the ANOVA that is the miles per gallon for each grade is the same. Hence the researcher should not print out a Tukey Comparison to see which grades have higher or lower gas mileage.

Note: I request if you post any question that has data then please provide the data as well. You will have to run the one-Way ANOVA in Minitab to check the p-value of ANOVA.

The procedure is given in the question as:

(STAT>ANOVA>OneWay>(Response data are in separate columns) )

Good luck with your studies!!!