Question 2: Light at Night Makes Fat Mice. {2.5 Points] Studies have shown that exposure to light at night is harmful to human health. A study done in mice shows that even low-level light at night can interfere with normal eating and sleeping cycles and can have an effect on weight gain and glucose intolerancez. In the study, mice were randomly assigned to live in one of three light conditions: LD had a standard lightfdark cycle, LL had bright light all the time, and DM had dim light when there normally would have been darkness. Let's try to analyze the effect of light exposure on the body mass gain through the following exercise. The mice in the study had body mass gain in grams {BMGain} measured throughout the study under the three different light oonditions [Light]: Light Level \"m Standard Deviation \"- sum 532E 11.l:|1'l:I {a} Given the above data set, please suggest a proper statistical test to analyze if there an association between the two variables {BMGain and Light]. Please give your rationale. {0.25 point] {bl Please use the suggested method in [a] to compute the statistics and post-hoc comparisons. [1 point} {c} Based on the results obtained in {is}, please comment on whether there is a cause-and-effect relationship among the variables. 1Why or why not? Does it fit with the conclusion stated in the paper? [0.5 point}