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 (Persson, Bringlov, Nilsson, and Nyberg, 2004). In a 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 = 50 and a standard deviation of = 12. The sample of research participants had an average of M = 54. Conduct a two-tailed hypothesis test with = .05 to evaluate the effect of the supplements. USE THE Z DISTRIBUTION FOR THIS TEST.

z =

We would (reject, fail to reject) the null hypothesis.

Note: Round to the hundredths place when necessary to round.