Question: The presence of harmful insects in farm fields is detected by erecting boards covered with a sticky substance and then examining the insects trapped on the board. To investigate which colors are most attractive to cereal leaf beetles, researchers placed six boards of each of four colors in a field of oats. The table below gives data on the number of cereal leaf beetles trapped.

1. Compare the means for the four colors.
2. Test the hypothesis that the color of the board has no effect in attracting cereal leaf beetles at \(\alpha=0.05\), assuming that the number of insects trapped follows a normal distribution and that the standard deviations are the same for all colors.
3. Do these assumptions seem reasonable? Why or why not?

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