Focus better than products from leading brands in market

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John wants to advertise that his own brand’s energy drink helps people stay awake and focus better than products from leading brands in the market. To support this claim, John gathered 10 people as his sample and administered the following: when a participant reports sleepiness, the participant drinks a can of energy drink (5 of the 10 people had John's energy drink and the other 5 had a Red Bull® energy drink), and John timed how long from then the participant were able to stay focused working on simple calculation problems. The time for each participant is reported below (in minutes). John's 125 140 150 95 65 Red Bull 95 155 135 80 50 John set H0: µ(John) ≤ µ(Red Bull) (No improved average focus with John's energy drink) and H1: µ(John) > µ(Red Bull) (Average focus is longer with John's energy drink) Upon hearing that a dependent-sample (paired-sample) t-test is more powerful in detecting the possible difference, John ran the dependent-sample test and found the p = 0.089 as the result. After he saw the result, in order to reject H0, John then set α = 0.10, and since now p < α, he rejected H0 concluding that his energy drink is superior.

Reference no: EM131781314

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