A group of scientists designed an experiment to investigate the effect of lighting on the egg production of pullets (young hens). The experiment consisted of hens of three colors (brown, black, and white). For each color of hens, twenty-four (24) hens were placed in six pens, each containing four hens. These pens were then randomly allocated to three lighting conditions listed below, each condition was applied to two pens. After being subjected to the conditions for 10 days, the average weight (in g) of all eggs laid in the following three days in each of the pens was recorded in the dataset A2Eggs.csv (available below). The lighting conditions were 1: natural daylight only; 2: extended lighting (natural daylight + another 2 hours of light in the evening); and 3: flash lighting (natural daylight + occasional 20 seconds of flashes per night). The scientists wanted to know which lighting condition tends to lead to heavier eggs laid by the hens. Unfortunately, the scientists did not take a proper advanced statistics subject so they regretfully have no idea how to analyze the data.

Weight	Color	Light
62.65	Black	1
54.99	Black	1
60.48	Black	2
57.12	Black	2
56.02	Black	3
56.26	Black	3
73.4	Brown	1
69.88	Brown	1
71.45	Brown	2
69.08	Brown	2
62.79	Brown	3
64.44	Brown	3
48.33	White	1
49.14	White	1
57.66	White	2
53.4	White	2
49.43	White	3
45.35	White	3

Determine the treatment(s) that give(s) the heaviest eggs, on average. Use a family-wise error rate of 5%. If you think it is not appropriate to compare the treatment effects, provide a statistical justification. 

Answer rating: 100% (QA)

There is a significant difference in average egg weight between the different lighting conditions F2... View the full answer