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A nutrition store in the mall is selling "Memory Booster" which is a concoction of herbs and minerals that is intended to improve memory performance. To test the effectiveness of the herbal mix, a researcher obtains a sample of n = 16 people and has each person take the suggested dosage every day for 4 weeks. At the end of the four week period, each individual takes a standardized memory test. The scores from the sample produced a mean X = 24 with a sample variance s2 = 64. In the general population, the standardized test is known to have a mean μ =20. Do the sample data support the conclusion that the Memory Booster has a significant effect? Test with α = .05.
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