Discuss the below:
Q: 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.