Perform the ANOVA F-test by comparing the F ratio to the appropriate value from the F...

Perform the ANOVA F-test by comparing the F ratio to the appropriate value from the 
F table (use a significance level of .05).  Among the different colors, is there a 
significant difference in mean time needed to complete the trial? do by hand, show work

times to complete trial for three groups of 5 participants.

Red:  9, 11, 10, 9, 15
Green: 20, 21, 23, 17, 30
Black: 6, 5, 8, 14, 7

Solutions

Expert Solution

Decision about null hypothesis: Here we observe that the F statistic value 20.0142 is greater than the F (2,12) Critical value at 0.05 Level.

It is then we reject the null hypothesis

P value approach : The P value is 0.0002 which is less than the level of Significance 0.05.

It is then we reject the null hypothesis.

Hence we conclude that there is enough evidence to support that there is significant difference between the three sample means.

orchestra answered 1 year ago

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