A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal of 59.From many previous studies with this same math problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 33 and a standard deviation of 10. Illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. Select the correct choicebelow and fill in the answer box to complete your choice.(Round to two decimal places as needed.)O A.O B.(b) Explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).O A. Since the sample's score was more extreme than the cutoff sample score(s), that means the probability of that score occurring, given that the null hypothesis istrue, is less than 0.01. With this knowledge, one can fail to reject the null hypothesis.O B. Since the sample's score was less extreme than the cutoff sample score(s), that means the probability of that score occurring, given that the null hypothesis istrue, is greater than 0.01. With this knowledge, one can reject the null hypothesis.O C. Since the sample's score was more extreme than the cutoff sample score(s), that means the probability of that score occurring, given that the null hypothesis istrue, is less than 0.01. With this knowledge, one can reject the null hypothesis.

Answered: Illustrate your answer with a sketch…

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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A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal of 59.

From many previous studies with this same math problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 33 and a standard deviation of 10.

Illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. Select the correct choice
below and fill in the answer box to complete your choice.
(Round to two decimal places as needed.)
O A.
O B.
(b) Explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).
O A. Since the sample's score was more extreme than the cutoff sample score(s), that means the probability of that score occurring, given that the null hypothesis is
true, is less than 0.01. With this knowledge, one can fail to reject the null hypothesis.
O B. Since the sample's score was less extreme than the cutoff sample score(s), that means the probability of that score occurring, given that the null hypothesis is
true, is greater than 0.01. With this knowledge, one can reject the null hypothesis.
O C. Since the sample's score was more extreme than the cutoff sample score(s), that means the probability of that score occurring, given that the null hypothesis is
true, is less than 0.01. With this knowledge, one can reject the null hypothesis.

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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