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Test four colors of sticky boards in a field of oats to trap beetles

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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 data is listed below on the number of cereal leaf beetles trapped

Color insects trapped
yellow 45 59 48 46 38 47
white 21 12 14 17 13 7
green 37 32 15 25 39 41
blue 16 11 20 21 14 7

a. Compare the means for the four colors
b. test the hypotheses that the colors of the board has no effect in attracting cereal leaf beetles at a=0.05 assumming that the number of insects trapped follows a normal distribution and that the standard deviations are the same for all colors
c. Do these assumptions seem reasonable.

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The expert tests four colors of sticky boards in a field of oars to trap beetles.

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Please find the attached answers.

As you can see in the below histogram and stem-and-leaf plot the distribution of the number of insects do not seem to follow a normal distribution. The distribution is slightly skewed to the right (i.e., has a right tail) and is leptokurtic (i.e., has a higher peak around the mean compared to a normal distribution). I also ...

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