Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well-controlled research. In a typical study, a researcher obtains a sample of n= 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test form a normal distribution with a mean of μ=50 and σ=12. the sample of research participants had an average of M=54. α=.05. Evaluate the effect of the supplements. Answer the following: a. one-tailed or two-tailed test:  a. State  H0 and HA b. what is the z value for the critical region? b. σM= ? c. z-score or test statistic = ? d. What is your decision?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well-controlled research. In a typical study, a researcher obtains a sample of n= 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test form a normal distribution with a mean of μ=50 and σ=12. the sample of research participants had an average of M=54. α=.05. Evaluate the effect of the supplements.

Answer the following:

a. one-tailed or two-tailed test: 

a. State  H0 and HA

b. what is the z value for the critical region?

b. σM= ?

c. z-score or test statistic = ?

d. What is your decision?

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