1. We want to compare the weights of two independent groups of mice. Group 1 consists of mice that were fed only cheese. Group consists of mice that were fed only walnuts. Below are the weights. Does this data present strong evidence that cheese is more effective than walnuts at producing weight gain? Perform the appropriate hypothesis test at the alpha = 0.01 level and report the p-value to at least at least 2 significant digits

cheese	walnut
13.7091	6.7153
16.6569	7.319
17.6377	13.9589
24.4921	23.1958
17.6106	9.382
22.5077	16.2283
8.7409	12.6465
17.2308	20.7041
14.8821	7.4656
11.1147	14.1953
21.5399	17.3152
20.4099	20.6037
19.1674	23.2653
12.3316	14.5156
24.6375	5.0505
20.7509	9.5462
17.5047	7.6305
	28.1027
	10.3064
	18.4885