To study the performance of a newly designed motoboat it was

To study the performance of a newly designed motoboat, it was timed over a marked course under various wind and water conditions, and trhe following data (in minutes) was obtained:

Calm conditions: 25,18,15,21

Moderate Conditions: 24,27,24,19,17,22

Choppy Conditions: 22,24,27,25,30

Perform an analysis of variance to test at the 0.05 level of significance whether the differences amoung the three sample means are significant.

Solution

One way anova would be appropriate here to test the mean diffrence between different conditions

Result of one way anova is given below

As p value of F statistic is greater than 0.025 (5% / 2), thus it can be said that there is significant difference between all three mean conditions.