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 participants and has each person take the suggested dosage each day for 4 weeks. At the end of the four week period, each individual takes a standard memory test. The scores from the participants produced a M=26 with a sample variance of s2=64. In the general population, the standardized test is known to have a μμ=20. a.  Do the sample data support the conclusion that memory booster has a significant effect? Use a two-tailed test with αα=.05. b. Compute Cohen's d to measure the size of the treatment effect.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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 participants and has each person take the suggested dosage each day for 4 weeks. At the end of the four week period, each individual takes a standard memory test. The scores from the participants produced a M=26 with a sample variance of s2=64. In the general population, the standardized test is known to have a μμ=20.

a.  Do the sample data support the conclusion that memory booster has a significant effect? Use a two-tailed test with αα=.05.

b. Compute Cohen's d to measure the size of the treatment effect.

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