Answer to Question #80744 in Statistics and Probability for Brian O'Neal

Question

Lab 5: Roket Phule

Pryme Tyme Soda Werks would like to dominate the college energy drink market. They’ve taken their leading energy drink, Shoker, and added a proprietary blend of nootropic supplements (i.e., vitamins and minerals that are supposed to increase cognitive processing, such as choline and gingko biloba). Their big marketing angle is that Roket Phule not only increases your energy, but makes you smarter too! We know that the population parameters for IQ is (μ = 100, σ = 15). You randomly select 36 students and give them all the Roket Phule they can drink for a month. At the end of that time, you give them an IQ Test and find a mean IQ X ̅=112.

Is this a one-tailed or 2-tailed test? How do you know?
What are the null and alternative hypotheses?
Give at least 1 alternative explanation, other than effect of the nootropics, that drinker’s IQ may have been higher?
Perform a z-test on the data. What do you conclude?

Answer 1

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