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…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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