Case Study 1. A group of scientists desired to study mice. From the same mouse population, two samples were taken. The first sample group were "lucky" in the sense that they were fed with the highest quality of cheese (ex: organic), while the second group were "less-fortunate" to be fed junk food cheese (ex: Cheez Whiz). After spending 3 months in their respective environments, the size of each mouse brain was measured by weight for development. The summary of the findings are presented below

Population	Average Brain Weight in Grams	Sample Standard Deviation	Sample Size
Lucky	2.4	0.6	50
Less-Fortunate	2.1	0.8	60

1. Due to the sample size of both sampled groups, what distribution may we assume that the data follows? (Recall your current and past modules on Central Tendency/Symmetric Distributions and estimators. You may research, consult your professor, etc.)

2. Assuming the two samples are independent of each other, perform a hypothesis test of the difference between means. Choose your alpha to be 0.10 , 0.05, or 0.01.

3. What is the P-value? Apply Confidence Interval, One-sided Upper Confidence Bound, or One-sided Lower Confidence Bound as aplicable to your hypothesis test.