The makers of the Liquid Braino® brand energy drink claim that their product

| August 30, 2017

Question
The makers of the Liquid Braino® brand energy drink claim that their product contains special ingredients that can improve a person’s 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 Braino’s 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:

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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 person’s 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

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