The makers of the Liquid Braino brand energy drink claim that their product contains special ingredients that can improve a persons memory. To test this claim, a public interest organization randomly selected 12 individuals, and then randomly assigned each of these individuals to one of two possible groups:

i. The experimental group ("Braino Group"), in which each subject drank a case of Liquid Braino.

ii. The control group ("Placebo Group"), in which each subject drank a case of a soda that looked and tasted exactly like Liquid Braino, but did not contain any of Liquid Brainos special ingredients.

(No subjects knew which type of drink they had been given.) Later, all subjects were given a memory test, in which higher scores indicate better memory. The scores earned by the subjects in each group are listed below:

Braino Group		Placebo Group
90		87
65		66
70		76
80		76
30		32
55		44

(Assume that the underlying populations are normally distributed, with equal variances.) Conduct the appropriate t-test, at a = .05, to determine whether drinking Liquid Braino can improve a persons memory. Once again...MAKE SURE THAT YOU PICK THE CORRECT HYPOTHESIS TEST!

Provide the information indicated below:

a) Statistical Hypotheses

b) Decision Rule

c) Calculations

d) Decision

e) Interpretation