1. Three colors of warning lights can be used on an automobile instrument panel. A researcher was interested to know whether users would have different reaction times depending on the color used in the panel. To find out, she randomly assigned, from 15 participants in total, 5 participants to each one of the 3 colors, and then measured their reaction times (in hundredths of a second, with decimal points deleted). The following data were obtained:

Red	Yellow	Blue
20	21	21
20	22	24
21	18	23
23	19	22
22	20	25

Given that the necessary assumptions are satisfied, can it be concluded, at the 5% level of significance, that not all mean reaction times to the colors are equal? Formulate and test the appropriate hypotheses. Use the critical value approach. Clearly state and explain your conclusion within the context of the question.