Although there is a popular belief that herbal supplements like Ginkgo biloba andGinseng may improve learning and memory in healthy adults, these effects are usuallynot supported by well-controlled research (Persson, Bringlov, Nilsson, & Nyberg, 2004).To study this a researcher obtains a sample of n = 36 participants and has each persontake an herbal supplement every day for 90 days. At the end of the 90 days, each persontakes a standardized memory test. For the general population, scores from the test arenormally distributed with a mean of \mu = 80 and a standard deviation of �� = 18. Thesample of research participants had an average of M = 84.Please answer the following and show ALL work.a. In a sentence state in words what the null hypothesis and alternative hypothesiswould be.b. Using the proper notation, state the null hypothesis and the alternative hypothesis.c. Conduct the rest of a hypothesis test (steps 2 - 4) using a two-tailed test with ⍺ =.05. Please label all steps and draw out your critical region.

Population mean (μ): 80Population standard deviation (σ): 18Sample size (n): 36Sample mean…

Answered: Although there is a popular belief that…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Although there is a popular belief that herbal supplements like 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, & Nyberg, 2004).

To study this a researcher obtains a sample of n = 36 participants and has each person

take an herbal supplement 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 are

normally distributed with a mean of \mu = 80 and a standard deviation of �� = 18. The

sample of research participants had an average of M = 84.

Please answer the following and show ALL work.

a. In a sentence state in words what the null hypothesis and alternative hypothesis

would be.

b. Using the proper notation, state the null hypothesis and the alternative hypothesis.

c. Conduct the rest of a hypothesis test (steps 2 - 4) using a two-tailed test with ⍺ =

.05. Please label all steps and draw out your critical region.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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